256628224944400 has 135 divisors (see below), whose sum is σ = 624514117464741. Its totient is φ = 101341910317440.

The previous prime is 256628224944389. The next prime is 256628224944431. The reversal of 256628224944400 is 4449422826652.

The square root of 256628224944400 is 16019620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 92386160979984 + 164242063964416 = 9611772^2 + 12815696^2 .

It is a super-2 number, since 2×256628224944400² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25310994531 + ... + 25311004669.

Almost surely, 2^{256628224944400} is an apocalyptic number.

256628224944400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

256628224944400 is the 16019620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256628224944400

256628224944400 is an abundant number, since it is smaller than the sum of its proper divisors (367885892520341).

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

256628224944400 is an frugal number, since it uses more digits than its factorization.

256628224944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20454 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 58.

The spelling of 256628224944400 in words is "two hundred fifty-six trillion, six hundred twenty-eight billion, two hundred twenty-four million, nine hundred forty-four thousand, four hundred".