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4441330041040 = 2452971172115667
BaseRepresentation
bin100000010100001001111…
…1001100100000011010000
3120201120211221000200201201
41000220103321210003100
51040231320442303130
613240152512240544
7635606204314444
oct100502371440320
916646757020651
104441330041040
111462615028582
125b8914540154
13262a7ac11b59
14114d665b0824
157a7e1011bca
hex40a13e640d0

4441330041040 has 160 divisors (see below), whose sum is σ = 10839603720960. Its totient is φ = 1690023014400.

The previous prime is 4441330041019. The next prime is 4441330041067. The reversal of 4441330041040 is 401400331444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283475287 + ... + 283490953.

It is an arithmetic number, because the mean of its divisors is an integer number (67747523256).

Almost surely, 24441330041040 is an apocalyptic number.

4441330041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4441330041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419801860480).

4441330041040 is an abundant number, since it is smaller than the sum of its proper divisors (6398273679920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4441330041040 is a wasteful number, since it uses less digits than its factorization.

4441330041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17501 (or 17495 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4441330041040 its reverse (401400331444), we get a palindrome (4842730372484).

The spelling of 4441330041040 in words is "four trillion, four hundred forty-one billion, three hundred thirty million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 71 80 116 142 145 232 284 290 355 464 568 580 710 1136 1160 1420 1721 2059 2320 2840 3442 4118 5680 6884 8236 8605 10295 13768 15667 16472 17210 20590 27536 31334 32944 34420 41180 49909 62668 68840 78335 82360 99818 122191 125336 137680 156670 164720 199636 244382 249545 250672 313340 399272 454343 488764 499090 610955 626680 798544 908686 977528 998180 1112357 1221910 1253360 1817372 1955056 1996360 2224714 2271715 2443820 3543539 3634744 3992720 4449428 4543430 4887640 5561785 7087078 7269488 8898856 9086860 9775280 11123570 14174156 17717695 17797712 18173720 22247140 26962907 28348312 32258353 35435390 36347440 44494280 53925814 56696624 64516706 70870780 88988560 107851628 129033412 134814535 141741560 161291765 215703256 258066824 269629070 283483120 322583530 431406512 516133648 539258140 645167060 781924303 1078516280 1290334120 1563848606 1914366397 2157032560 2580668240 3127697212 3828732794 3909621515 6255394424 7657465588 7819243030 9571831985 12510788848 15314931176 15638486060 19143663970 30629862352 31276972120 38287327940 55516625513 62553944240 76574655880 111033251026 153149311760 222066502052 277583127565 444133004104 555166255130 888266008208 1110332510260 2220665020520 4441330041040