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41032425040 = 2452347617769
BaseRepresentation
bin100110001101101110…
…010001111001010000
310220220121202011101221
4212031232101321100
51133013300100130
630503335134424
72651551600225
oct461556217120
9126817664357
1041032425040
1116446809282
127b51814414
133b3bc33459
141db375994c
15110247087a
hex98db91e50

41032425040 has 160 divisors (see below), whose sum is σ = 101963473920. Its totient is φ = 15320481792.

The previous prime is 41032425011. The next prime is 41032425053. The reversal of 41032425040 is 4052423014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41032424996 and 41032425014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53357776 + ... + 53358544.

It is an arithmetic number, because the mean of its divisors is an integer number (637271712).

Almost surely, 241032425040 is an apocalyptic number.

41032425040 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 41032425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50981736960).

41032425040 is an abundant number, since it is smaller than the sum of its proper divisors (60931048880).

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

41032425040 is a wasteful number, since it uses less digits than its factorization.

41032425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 41032425040 its reverse (4052423014), we get a palindrome (45084848054).

The spelling of 41032425040 in words is "forty-one billion, thirty-two million, four hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 617 752 769 920 940 1081 1234 1538 1840 1880 2162 2468 3076 3085 3760 3845 4324 4936 5405 6152 6170 7690 8648 9872 10810 12304 12340 14191 15380 17296 17687 21620 24680 28382 28999 30760 35374 36143 43240 49360 56764 57998 61520 70748 70955 72286 86480 88435 113528 115996 141496 141910 144572 144995 176870 180715 227056 231992 282992 283820 289144 289990 353740 361430 463984 474473 567640 578288 579980 666977 707480 722860 831289 948946 1135280 1159960 1333954 1414960 1445720 1662578 1897892 2319920 2372365 2667908 2891440 3325156 3334885 3795784 4156445 4744730 5335816 6650312 6669770 7591568 8312890 9489460 10671632 10912879 13300624 13339540 16625780 18978920 21825758 22300231 26679080 33251560 37957840 43651516 44600462 53358160 54564395 66503120 87303032 89200924 109128790 111501155 174606064 178401848 218257580 223002310 356803696 436515160 446004620 512905313 873030320 892009240 1025810626 1784018480 2051621252 2564526565 4103242504 5129053130 8206485008 10258106260 20516212520 41032425040