256193292408 has 128 divisors (see below), whose sum is σ = 660238387200. Its totient is φ = 82791680000.

The previous prime is 256193292319. The next prime is 256193292437. The reversal of 256193292408 is 804292391652.

It is a congruent number.

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, 140532985 + ... + 140534807.

It is an arithmetic number, because the mean of its divisors is an integer number (5158112400).

Almost surely, 2^256193292408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256193292408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330119193600).

256193292408 is an abundant number, since it is smaller than the sum of its proper divisors (404045094792).

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

256193292408 is a wasteful number, since it uses less digits than its factorization.

256193292408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 256193292408 in words is "two hundred fifty-six billion, one hundred ninety-three million, two hundred ninety-two thousand, four hundred eight".