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1040541444440 = 2356712721114489
BaseRepresentation
bin11110010010001010001…
…10100110100101011000
310200110211010022012010022
433021011012212211120
5114022012102210230
62114003530210012
7135114405226031
oct17110506464530
93613733265108
101040541444440
11371322578183
121497b7283908
1377179584314
14385108b7a88
151c100a511e5
hexf2451a6958

1040541444440 has 128 divisors (see below), whose sum is σ = 2406387916800. Its totient is φ = 404820218880.

The previous prime is 1040541444433. The next prime is 1040541444469. The reversal of 1040541444440 is 444441450401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1040541444440.

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, 71808716 + ... + 71823204.

It is an arithmetic number, because the mean of its divisors is an integer number (18799905600).

Almost surely, 21040541444440 is an apocalyptic number.

1040541444440 is a gapful number since it is divisible by the number (10) 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 1040541444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203193958400).

1040541444440 is an abundant number, since it is smaller than the sum of its proper divisors (1365846472360).

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

1040541444440 is a wasteful number, since it uses less digits than its factorization.

1040541444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14905 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 1040541444440 its reverse (444441450401), we get a palindrome (1484982894841).

The spelling of 1040541444440 in words is "one trillion, forty billion, five hundred forty-one million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 127 134 211 254 268 335 422 508 536 635 670 844 1016 1055 1270 1340 1688 2110 2540 2680 4220 5080 8440 8509 14137 14489 17018 26797 28274 28978 34036 42545 53594 56548 57956 68072 70685 72445 85090 107188 113096 115912 133985 141370 144890 170180 214376 267970 282740 289780 340360 535940 565480 579560 970763 1071880 1795399 1840103 1941526 3057179 3590798 3680206 3883052 4853815 6114358 7181596 7360412 7766104 8976995 9200515 9707630 12228716 14363192 14720824 15285895 17953990 18401030 19415260 24457432 30571790 35907980 36802060 38830520 61143580 71815960 73604120 122287160 123286901 204830993 246573802 388261733 409661986 493147604 616434505 776523466 819323972 986295208 1024154965 1232869010 1553046932 1638647944 1941308665 2048309930 2465738020 3106093864 3882617330 4096619860 4931476040 7765234660 8193239720 15530469320 26013536111 52027072222 104054144444 130067680555 208108288888 260135361110 520270722220 1040541444440