256311706400 has 72 divisors (see below), whose sum is σ = 662528103300. Its totient is φ = 96493813760.

The previous prime is 256311706363. The next prime is 256311706411. The reversal of 256311706400 is 4607113652.

256311706400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 190141346704 + 66170359696 = 436052^2 + 257236^2 .

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 11 ways as a sum of consecutive naturals, for example, 9409625 + ... + 9436824.

Almost surely, 2^256311706400 is an apocalyptic number.

256311706400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256311706400 is an abundant number, since it is smaller than the sum of its proper divisors (406216396900).

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

256311706400 is a wasteful number, since it uses less digits than its factorization.

256311706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18846486 (or 18846473 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 256311706400 in words is "two hundred fifty-six billion, three hundred eleven million, seven hundred six thousand, four hundred".