256457421504 has 42 divisors (see below), whose sum is σ = 735088895580. Its totient is φ = 85485806976.

The previous prime is 256457421497. The next prime is 256457421523. The reversal of 256457421504 is 405124754652.

256457421504 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 574 + 21 + 50 + 4 = 666.

256457421504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256457421504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222618714 + ... + 222619865.

Almost surely, 2^256457421504 is an apocalyptic number.

256457421504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256457421504 is an abundant number, since it is smaller than the sum of its proper divisors (478631474076).

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

256457421504 is a wasteful number, since it uses less digits than its factorization.

256457421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445238597 (or 445238584 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 256457421504 in words is "two hundred fifty-six billion, four hundred fifty-seven million, four hundred twenty-one thousand, five hundred four".