257054313440 has 48 divisors (see below), whose sum is σ = 607324858560. Its totient is φ = 102815961600.

The previous prime is 257054313433. The next prime is 257054313463. The reversal of 257054313440 is 44313450752.

257054313440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 257054313394 and 257054313403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3888665 + ... + 3954215.

It is an arithmetic number, because the mean of its divisors is an integer number (12652601220).

Almost surely, 2^257054313440 is an apocalyptic number.

257054313440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257054313440 is an abundant number, since it is smaller than the sum of its proper divisors (350270545120).

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

257054313440 is a wasteful number, since it uses less digits than its factorization.

257054313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90075 (or 90067 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 257054313440 in words is "two hundred fifty-seven billion, fifty-four million, three hundred thirteen thousand, four hundred forty".