257104419840 has 352 divisors, whose sum is σ = 925023251520. Its totient is φ = 68558192640.

The previous prime is 257104419823. The next prime is 257104419863. The reversal of 257104419840 is 48914401752.

257104419840 is a `hidden beast` number, since 2 + 57 + 104 + 419 + 84 + 0 = 666.

It is a super-2 number, since 2×257104419840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 11185960 + ... + 11208920.

Almost surely, 2^257104419840 is an apocalyptic number.

257104419840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257104419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462511625760).

257104419840 is an abundant number, since it is smaller than the sum of its proper divisors (667918831680).

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

257104419840 is an frugal number, since it uses more digits than its factorization.

257104419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23007 (or 22971 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 257104419840 in words is "two hundred fifty-seven billion, one hundred four million, four hundred nineteen thousand, eight hundred forty".