256973396400 has 1920 divisors, whose sum is σ = 1180876800000. Its totient is φ = 51732172800.

The previous prime is 256973396359. The next prime is 256973396413. The reversal of 256973396400 is 4693379652.

256973396400 is a `hidden beast` number, since 2 + 569 + 7 + 3 + 39 + 6 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1291323501 + ... + 1291323699.

It is an arithmetic number, because the mean of its divisors is an integer number (615040000).

Almost surely, 2^256973396400 is an apocalyptic number.

256973396400 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 256973396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590438400000).

256973396400 is an abundant number, since it is smaller than the sum of its proper divisors (923903403600).

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

256973396400 is a wasteful number, since it uses less digits than its factorization.

256973396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 256973396400 in words is "two hundred fifty-six billion, nine hundred seventy-three million, three hundred ninety-six thousand, four hundred".