257903383040 has 40 divisors (see below), whose sum is σ = 618363664380. Its totient is φ = 103161352192.

The previous prime is 257903383033. The next prime is 257903383091. The reversal of 257903383040 is 40383309752.

It can be written as a sum of positive squares in 2 ways, for example, as 217215652096 + 40687730944 = 466064^2 + 201712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 257903382982 and 257903383000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50369195 + ... + 50374314.

Almost surely, 2^257903383040 is an apocalyptic number.

257903383040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257903383040 is an abundant number, since it is smaller than the sum of its proper divisors (360460281340).

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

257903383040 is an equidigital number, since it uses as much as digits as its factorization.

257903383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100743532 (or 100743516 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 257903383040 in words is "two hundred fifty-seven billion, nine hundred three million, three hundred eighty-three thousand, forty".