257814498240 has 560 divisors, whose sum is σ = 1045756559232. Its totient is φ = 59727642624.

The previous prime is 257814498239. The next prime is 257814498259. The reversal of 257814498240 is 42894418752.

257814498240 is a `hidden beast` number, since 2 + 5 + 7 + 81 + 449 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5705817 + ... + 5750823.

Almost surely, 2^257814498240 is an apocalyptic number.

257814498240 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 257814498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522878279616).

257814498240 is an abundant number, since it is smaller than the sum of its proper divisors (787942060992).

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

257814498240 is a wasteful number, since it uses less digits than its factorization.

257814498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45066 (or 45047 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 257814498240 in words is "two hundred fifty-seven billion, eight hundred fourteen million, four hundred ninety-eight thousand, two hundred forty".