257401004411 has 16 divisors (see below), whose sum is σ = 265114241280. Its totient is φ = 249728624640.

The previous prime is 257401004347. The next prime is 257401004423. The reversal of 257401004411 is 114400104752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257401004411 - 2⁶ = 257401004347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257401003411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19779875 + ... + 19792883.

It is an arithmetic number, because the mean of its divisors is an integer number (16569640080).

Almost surely, 2^257401004411 is an apocalyptic number.

257401004411 is a deficient number, since it is larger than the sum of its proper divisors (7713236869).

257401004411 is a wasteful number, since it uses less digits than its factorization.

257401004411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14534.

The product of its (nonzero) digits is 4480, while the sum is 29.

The spelling of 257401004411 in words is "two hundred fifty-seven billion, four hundred one million, four thousand, four hundred eleven".