256542418944 has 384 divisors, whose sum is σ = 914239872000. Its totient is φ = 69438062592.

The previous prime is 256542418901. The next prime is 256542419033. The reversal of 256542418944 is 449814245652.

256542418944 is a `hidden beast` number, since 2 + 5 + 6 + 542 + 4 + 1 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 7336927 + ... + 7371809.

It is an arithmetic number, because the mean of its divisors is an integer number (2380833000).

Almost surely, 2^256542418944 is an apocalyptic number.

256542418944 is a gapful number since it is divisible by the number (24) 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 256542418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457119936000).

256542418944 is an abundant number, since it is smaller than the sum of its proper divisors (657697453056).

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

256542418944 is a wasteful number, since it uses less digits than its factorization.

256542418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34940 (or 34914 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 256542418944 in words is "two hundred fifty-six billion, five hundred forty-two million, four hundred eighteen thousand, nine hundred forty-four".