257649092021440 has 112 divisors (see below), whose sum is σ = 701185136616000. Its totient is φ = 88335378173952.

The previous prime is 257649092021411. The next prime is 257649092021443. The reversal of 257649092021440 is 44120290946752.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (257649092021443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139911786 + ... + 141741334.

Almost surely, 2^{257649092021440} is an apocalyptic number.

257649092021440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257649092021440 is an abundant number, since it is smaller than the sum of its proper divisors (443536044594560).

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

257649092021440 is a wasteful number, since it uses less digits than its factorization.

257649092021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892442 (or 1892432 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 257649092021440 in words is "two hundred fifty-seven trillion, six hundred forty-nine billion, ninety-two million, twenty-one thousand, four hundred forty".