256404134600 has 24 divisors (see below), whose sum is σ = 596139613410. Its totient is φ = 102561653760.

The previous prime is 256404134557. The next prime is 256404134617. The reversal of 256404134600 is 6431404652.

256404134600 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 3 ways, for example, as 154230569284 + 102173565316 = 392722^2 + 319646^2 .

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 5 ways as a sum of consecutive naturals, for example, 641010137 + ... + 641010536.

Almost surely, 2^256404134600 is an apocalyptic number.

256404134600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256404134600 is an abundant number, since it is smaller than the sum of its proper divisors (339735478810).

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

256404134600 is a wasteful number, since it uses less digits than its factorization.

256404134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282020689 (or 1282020680 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 256404134600 in words is "two hundred fifty-six billion, four hundred four million, one hundred thirty-four thousand, six hundred".