257340340224 has 768 divisors, whose sum is σ = 903484108800. Its totient is φ = 71486668800.

The previous prime is 257340340181. The next prime is 257340340253. The reversal of 257340340224 is 422043043752.

257340340224 is a `hidden beast` number, since 2 + 57 + 3 + 40 + 340 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423954129 + ... + 423954735.

It is an arithmetic number, because the mean of its divisors is an integer number (1176411600).

Almost surely, 2^257340340224 is an apocalyptic number.

257340340224 is a gapful number since it is divisible by the number (24) 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 257340340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451742054400).

257340340224 is an abundant number, since it is smaller than the sum of its proper divisors (646143768576).

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

257340340224 is a wasteful number, since it uses less digits than its factorization.

257340340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Adding to 257340340224 its reverse (422043043752), we get a palindrome (679383383976).

The spelling of 257340340224 in words is "two hundred fifty-seven billion, three hundred forty million, three hundred forty thousand, two hundred twenty-four".