256620830400 has 1344 divisors, whose sum is σ = 1059928588800. Its totient is φ = 60615475200.

The previous prime is 256620830377. The next prime is 256620830429. The reversal of 256620830400 is 4038026652.

256620830400 is a `hidden beast` number, since 2 + 566 + 20 + 8 + 30 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2270980744 + ... + 2270980856.

Almost surely, 2^256620830400 is an apocalyptic number.

256620830400 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 256620830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529964294400).

256620830400 is an abundant number, since it is smaller than the sum of its proper divisors (803307758400).

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

256620830400 is a wasteful number, since it uses less digits than its factorization.

256620830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 256620830400 in words is "two hundred fifty-six billion, six hundred twenty million, eight hundred thirty thousand, four hundred".