256418438326400 has 144 divisors (see below), whose sum is σ = 736851416479290. Its totient is φ = 87914893086720.

The previous prime is 256418438326283. The next prime is 256418438326417. The reversal of 256418438326400 is 4623834814652.

It can be written as a sum of positive squares in 3 ways, for example, as 167356033531456 + 89062404794944 = 12936616^2 + 9437288^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 817504037 + ... + 817817636.

Almost surely, 2^{256418438326400} is an apocalyptic number.

256418438326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256418438326400 is an abundant number, since it is smaller than the sum of its proper divisors (480432978152890).

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

256418438326400 is a wasteful number, since it uses less digits than its factorization.

256418438326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635321711 (or 1635321687 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 56.

The spelling of 256418438326400 in words is "two hundred fifty-six trillion, four hundred eighteen billion, four hundred thirty-eight million, three hundred twenty-six thousand, four hundred".