257337914240 has 128 divisors (see below), whose sum is σ = 692775383040. Its totient is φ = 90558720000.

The previous prime is 257337914189. The next prime is 257337914243. The reversal of 257337914240 is 42419733752.

It is a happy number.

257337914240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257337914243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371336 + ... + 807815.

It is an arithmetic number, because the mean of its divisors is an integer number (5412307680).

Almost surely, 2^257337914240 is an apocalyptic number.

257337914240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257337914240 is an abundant number, since it is smaller than the sum of its proper divisors (435437468800).

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

257337914240 is a wasteful number, since it uses less digits than its factorization.

257337914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179212 (or 1179200 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 257337914240 in words is "two hundred fifty-seven billion, three hundred thirty-seven million, nine hundred fourteen thousand, two hundred forty".