256436555042304 has 1200 divisors, whose sum is σ = 960188743549728. Its totient is φ = 67537009999872.

The previous prime is 256436555042299. The next prime is 256436555042321. The reversal of 256436555042304 is 403240555634652.

256436555042304 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 3 + 65 + 550 + 4 + 23 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19998165237 + ... + 19998178059.

Almost surely, 2^{256436555042304} is an apocalyptic number.

256436555042304 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 256436555042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480094371774864).

256436555042304 is an abundant number, since it is smaller than the sum of its proper divisors (703752188507424).

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

256436555042304 is a wasteful number, since it uses less digits than its factorization.

256436555042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13637 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 256436555042304 in words is "two hundred fifty-six trillion, four hundred thirty-six billion, five hundred fifty-five million, forty-two thousand, three hundred four".