256908442019400 has 384 divisors, whose sum is σ = 914523616742400. Its totient is φ = 66221191526400.

The previous prime is 256908442019371. The next prime is 256908442019459. The reversal of 256908442019400 is 4910244809652.

256908442019400 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 0 + 8 + 442 + 0 + 194 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141892612 + ... + 143691788.

It is an arithmetic number, because the mean of its divisors is an integer number (2381571918600).

Almost surely, 2^{256908442019400} is an apocalyptic number.

256908442019400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256908442019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457261808371200).

256908442019400 is an abundant number, since it is smaller than the sum of its proper divisors (657615174723000).

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

256908442019400 is a wasteful number, since it uses less digits than its factorization.

256908442019400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800086 (or 1800071 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 256908442019400 in words is "two hundred fifty-six trillion, nine hundred eight billion, four hundred forty-two million, nineteen thousand, four hundred".