256604413641408 has 1260 divisors, whose sum is σ = 970285776090048. Its totient is φ = 66776376360960.

The previous prime is 256604413641353. The next prime is 256604413641413. The reversal of 256604413641408 is 804146314406652.

256604413641408 is a `hidden beast` number, since 2 + 5 + 6 + 60 + 4 + 4 + 136 + 41 + 408 = 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 179 ways as a sum of consecutive naturals, for example, 2275672966 + ... + 2275785722.

Almost surely, 2^{256604413641408} is an apocalyptic number.

256604413641408 is a gapful number since it is divisible by the number (28) 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 256604413641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485142888045024).

256604413641408 is an abundant number, since it is smaller than the sum of its proper divisors (713681362448640).

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

256604413641408 is a wasteful number, since it uses less digits than its factorization.

256604413641408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112860 (or 112817 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 256604413641408 in words is "two hundred fifty-six trillion, six hundred four billion, four hundred thirteen million, six hundred forty-one thousand, four hundred eight".