256744416001300 has 72 divisors (see below), whose sum is σ = 558823930791840. Its totient is φ = 102386968099200.

The previous prime is 256744416001267. The next prime is 256744416001327. The reversal of 256744416001300 is 3100614447652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42330891 + ... + 48014509.

It is an arithmetic number, because the mean of its divisors is an integer number (7761443483220).

Almost surely, 2^{256744416001300} is an apocalyptic number.

256744416001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256744416001300 is an abundant number, since it is smaller than the sum of its proper divisors (302079514790540).

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

256744416001300 is a wasteful number, since it uses less digits than its factorization.

256744416001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685001 (or 5684994 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 256744416001300 in words is "two hundred fifty-six trillion, seven hundred forty-four billion, four hundred sixteen million, one thousand, three hundred".