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441200887110040 = 23523957180824379
BaseRepresentation
bin110010001010001010001011…
…0001001101001100110011000
32010212011101121102011002122011
41210110110112021221212120
5430312113404100010130
64202204520041435304
7161634466165013641
oct14424242611514630
92125141542132564
10441200887110040
11118642277765752
124159783049bb34
1315c250b01327a5
147ad4345db06c8
1536019aa86852a
hex1914516269998

441200887110040 has 64 divisors (see below), whose sum is σ = 998601379776000. Its totient is φ = 175434161911680.

The previous prime is 441200887110037. The next prime is 441200887110091. The reversal of 441200887110040 is 40011788002144.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 441200887109975 and 441200887110002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34953430 + ... + 45870949.

It is an arithmetic number, because the mean of its divisors is an integer number (15603146559000).

Almost surely, 2441200887110040 is an apocalyptic number.

441200887110040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441200887110040 is an abundant number, since it is smaller than the sum of its proper divisors (557400492665960).

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

441200887110040 is a wasteful number, since it uses less digits than its factorization.

441200887110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80825200 (or 80825196 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The spelling of 441200887110040 in words is "four hundred forty-one trillion, two hundred billion, eight hundred eighty-seven million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 239 478 571 956 1142 1195 1912 2284 2390 2855 4568 4780 5710 9560 11420 22840 136469 272938 545876 682345 1091752 1364690 2729380 5458760 80824379 161648758 323297516 404121895 646595032 808243790 1616487580 3232975160 19317026581 38634053162 46150720409 77268106324 92301440818 96585132905 154536212648 184602881636 193170265810 230753602045 369205763272 386340531620 461507204090 772681063240 923014408180 1846028816360 11030022177751 22060044355502 44120088711004 55150110888755 88240177422008 110300221777510 220600443555020 441200887110040