256123814400 has 1200 divisors, whose sum is σ = 994621161600. Its totient is φ = 65041367040.

The previous prime is 256123814377. The next prime is 256123814407. The reversal of 256123814400 is 4418321652.

It is a happy number.

256123814400 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 238 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256123814407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3242073561 + ... + 3242073639.

It is an arithmetic number, because the mean of its divisors is an integer number (828850968).

Almost surely, 2^256123814400 is an apocalyptic number.

256123814400 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 256123814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497310580800).

256123814400 is an abundant number, since it is smaller than the sum of its proper divisors (738497347200).

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

256123814400 is an equidigital number, since it uses as much as digits as its factorization.

256123814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 256123814400 in words is "two hundred fifty-six billion, one hundred twenty-three million, eight hundred fourteen thousand, four hundred".