256724033546240 has 96 divisors (see below), whose sum is σ = 663370891714440. Its totient is φ = 94790412337152.

The previous prime is 256724033546237. The next prime is 256724033546243. The reversal of 256724033546240 is 42645330427652.

It is an interprime number because it is at equal distance from previous prime (256724033546237) and next prime (256724033546243).

It can be written as a sum of positive squares in 4 ways, for example, as 63289789318144 + 193434244228096 = 7955488^2 + 13908064^2 .

It is not an unprimeable number, because it can be changed into a prime (256724033546243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964124819 + ... + 964391058.

Almost surely, 2^{256724033546240} is an apocalyptic number.

256724033546240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256724033546240 is an abundant number, since it is smaller than the sum of its proper divisors (406646858168200).

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

256724033546240 is a wasteful number, since it uses less digits than its factorization.

256724033546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928515917 (or 1928515897 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 53.

The spelling of 256724033546240 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, thirty-three million, five hundred forty-six thousand, two hundred forty".