257900042400 has 576 divisors, whose sum is σ = 1127123859456. Its totient is φ = 49466880000.

The previous prime is 257900042369. The next prime is 257900042423. The reversal of 257900042400 is 4240009752.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2348725 + ... + 2456075.

It is an arithmetic number, because the mean of its divisors is an integer number (1956812256).

Almost surely, 2^257900042400 is an apocalyptic number.

257900042400 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 257900042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563561929728).

257900042400 is an abundant number, since it is smaller than the sum of its proper divisors (869223817056).

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

257900042400 is a wasteful number, since it uses less digits than its factorization.

257900042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107405 (or 107392 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 257900042400 in words is "two hundred fifty-seven billion, nine hundred million, forty-two thousand, four hundred".