256226414400 has 672 divisors, whose sum is σ = 1054145923200. Its totient is φ = 59970355200.

The previous prime is 256226414359. The next prime is 256226414441. The reversal of 256226414400 is 4414622652.

256226414400 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 2 + 641 + 4 + 4 + 0 + 0 = 666.

256226414400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256226414359) and next prime (256226414441).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13771504 + ... + 13790096.

Almost surely, 2^256226414400 is an apocalyptic number.

256226414400 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 256226414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527072961600).

256226414400 is an abundant number, since it is smaller than the sum of its proper divisors (797919508800).

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

256226414400 is a wasteful number, since it uses less digits than its factorization.

256226414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18664 (or 18643 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 256226414400 in words is "two hundred fifty-six billion, two hundred twenty-six million, four hundred fourteen thousand, four hundred".