257908229040 has 160 divisors (see below), whose sum is σ = 996798629376. Its totient is φ = 53591316480.

The previous prime is 257908229011. The next prime is 257908229093. The reversal of 257908229040 is 40922809752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6959557 + ... + 6996516.

Almost surely, 2^257908229040 is an apocalyptic number.

257908229040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257908229040 is an abundant number, since it is smaller than the sum of its proper divisors (738890400336).

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

257908229040 is a wasteful number, since it uses less digits than its factorization.

257908229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13956107 (or 13956101 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 257908229040 in words is "two hundred fifty-seven billion, nine hundred eight million, two hundred twenty-nine thousand, forty".