256978038240 has 1728 divisors, whose sum is σ = 1173757132800. Its totient is φ = 52306974720.

The previous prime is 256978038181. The next prime is 256978038253. The reversal of 256978038240 is 42830879652.

256978038240 is a `hidden beast` number, since 2 + 569 + 7 + 8 + 0 + 38 + 2 + 40 = 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 287 ways as a sum of consecutive naturals, for example, 2023449057 + ... + 2023449183.

It is an arithmetic number, because the mean of its divisors is an integer number (679257600).

Almost surely, 2^256978038240 is an apocalyptic number.

256978038240 is a gapful number since it is divisible by the number (20) 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 256978038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586878566400).

256978038240 is an abundant number, since it is smaller than the sum of its proper divisors (916779094560).

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

256978038240 is a wasteful number, since it uses less digits than its factorization.

256978038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 256978038240 in words is "two hundred fifty-six billion, nine hundred seventy-eight million, thirty-eight thousand, two hundred forty".