257712440832 has 1280 divisors, whose sum is σ = 998578944000. Its totient is φ = 65840947200.

The previous prime is 257712440827. The next prime is 257712440837. The reversal of 257712440832 is 238044217752.

257712440832 is a `hidden beast` number, since 2 + 577 + 1 + 2 + 4 + 40 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (257712440827) and next prime (257712440837).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257712440837) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4224794082 + ... + 4224794142.

It is an arithmetic number, because the mean of its divisors is an integer number (780139800).

Almost surely, 2^257712440832 is an apocalyptic number.

257712440832 is a gapful number since it is divisible by the number (22) 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 257712440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499289472000).

257712440832 is an abundant number, since it is smaller than the sum of its proper divisors (740866503168).

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

257712440832 is an frugal number, since it uses more digits than its factorization.

257712440832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 257712440832 in words is "two hundred fifty-seven billion, seven hundred twelve million, four hundred forty thousand, eight hundred thirty-two".