256945322750400 has 840 divisors, whose sum is σ = 975194542709376. Its totient is φ = 66290686156800.

The previous prime is 256945322750381. The next prime is 256945322750401. The reversal of 256945322750400 is 4057223549652.

256945322750400 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 4 + 5 + 3 + 227 + 5 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256945322750401) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 22004389362 + ... + 22004401038.

Almost surely, 2^{256945322750400} is an apocalyptic number.

256945322750400 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 256945322750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487597271354688).

256945322750400 is an abundant number, since it is smaller than the sum of its proper divisors (718249219958976).

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

256945322750400 is a wasteful number, since it uses less digits than its factorization.

256945322750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17219 (or 17195 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 256945322750400 in words is "two hundred fifty-six trillion, nine hundred forty-five billion, three hundred twenty-two million, seven hundred fifty thousand, four hundred".