257424242400 has 576 divisors, whose sum is σ = 1007375523840. Its totient is φ = 63066470400.

The previous prime is 257424242399. The next prime is 257424242417. The reversal of 257424242400 is 4242424752.

257424242400 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 2 + 4 + 242 + 400 = 666.

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 95 ways as a sum of consecutive naturals, for example, 62616345 + ... + 62620455.

It is an arithmetic number, because the mean of its divisors is an integer number (1748915840).

Almost surely, 2^257424242400 is an apocalyptic number.

257424242400 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 257424242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503687761920).

257424242400 is an abundant number, since it is smaller than the sum of its proper divisors (749951281440).

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

257424242400 is a wasteful number, since it uses less digits than its factorization.

257424242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The spelling of 257424242400 in words is "two hundred fifty-seven billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred".