257040633574416 has 40 divisors (see below), whose sum is σ = 670113578368960. Its totient is φ = 84894154206336.

The previous prime is 257040633574391. The next prime is 257040633574451. The reversal of 257040633574416 is 614475336040752.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24564275500 + ... + 24564285963.

It is an arithmetic number, because the mean of its divisors is an integer number (16752839459224).

Almost surely, 2^{257040633574416} is an apocalyptic number.

It is an amenable number.

257040633574416 is an abundant number, since it is smaller than the sum of its proper divisors (413072944794544).

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

257040633574416 is a wasteful number, since it uses less digits than its factorization.

257040633574416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49128561583 (or 49128561577 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 57.

The spelling of 257040633574416 in words is "two hundred fifty-seven trillion, forty billion, six hundred thirty-three million, five hundred seventy-four thousand, four hundred sixteen".