404785112256 has 168 divisors, whose sum is σ = 1358334335904. Its totient is φ = 112832040960.

The previous prime is 404785112233. The next prime is 404785112279. The reversal of 404785112256 is 652211587404.

404785112256 is a `hidden beast` number, since 4 + 0 + 478 + 5 + 1 + 122 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (404785112233) and next prime (404785112279).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058995 + ... + 1389618.

It is an arithmetic number, because the mean of its divisors is an integer number (8085323428).

Almost surely, 2^404785112256 is an apocalyptic number.

It is an amenable number.

404785112256 is an abundant number, since it is smaller than the sum of its proper divisors (953549223648).

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

404785112256 is a wasteful number, since it uses less digits than its factorization.

404785112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448679 (or 2448666 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 404785112256 in words is "four hundred four billion, seven hundred eighty-five million, one hundred twelve thousand, two hundred fifty-six".