256070434104 has 320 divisors, whose sum is σ = 803086099200. Its totient is φ = 75843993600.

The previous prime is 256070434097. The next prime is 256070434117. The reversal of 256070434104 is 401434070652.

256070434104 is a `hidden beast` number, since 2 + 5 + 607 + 0 + 4 + 3 + 41 + 0 + 4 = 666.

It is a super-2 number, since 2×256070434104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13992192 + ... + 14010480.

It is an arithmetic number, because the mean of its divisors is an integer number (2509644060).

Almost surely, 2^256070434104 is an apocalyptic number.

256070434104 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 256070434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401543049600).

256070434104 is an abundant number, since it is smaller than the sum of its proper divisors (547015665096).

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

256070434104 is a wasteful number, since it uses less digits than its factorization.

256070434104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18396 (or 18383 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 256070434104 in words is "two hundred fifty-six billion, seventy million, four hundred thirty-four thousand, one hundred four".