401765625861264 has 160 divisors (see below), whose sum is σ = 1387327697408000. Its totient is φ = 108748590443136.

The previous prime is 401765625861151. The next prime is 401765625861287. The reversal of 401765625861264 is 462168526567104.

401765625861264 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 6 + 5 + 6 + 2 + 5 + 8 + 612 + 6 + 4 = 666.

It is a super-2 number, since 2×401765625861264² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3496232104 + ... + 3496347015.

It is an arithmetic number, because the mean of its divisors is an integer number (8670798108800).

Almost surely, 2^{401765625861264} is an apocalyptic number.

It is an amenable number.

401765625861264 is an abundant number, since it is smaller than the sum of its proper divisors (985562071546736).

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

401765625861264 is a wasteful number, since it uses less digits than its factorization.

401765625861264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992579162 (or 6992579150 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 401765625861264 in words is "four hundred one trillion, seven hundred sixty-five billion, six hundred twenty-five million, eight hundred sixty-one thousand, two hundred sixty-four".