257405742321044 has 96 divisors (see below), whose sum is σ = 496522005840000. Its totient is φ = 116284422998016.

The previous prime is 257405742321017. The next prime is 257405742321047. The reversal of 257405742321044 is 440123247504752.

It is a junction number, because it is equal to n+sod(n) for n = 257405742320983 and 257405742321001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257405742321047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996667352 + ... + 996925584.

It is an arithmetic number, because the mean of its divisors is an integer number (5172104227500).

Almost surely, 2^{257405742321044} is an apocalyptic number.

It is an amenable number.

257405742321044 is a deficient number, since it is larger than the sum of its proper divisors (239116263518956).

257405742321044 is a wasteful number, since it uses less digits than its factorization.

257405742321044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263817 (or 263815 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 50.

Adding to 257405742321044 its reverse (440123247504752), we get a palindrome (697528989825796).

The spelling of 257405742321044 in words is "two hundred fifty-seven trillion, four hundred five billion, seven hundred forty-two million, three hundred twenty-one thousand, forty-four".