257290140042 has 80 divisors (see below), whose sum is σ = 653545606560. Its totient is φ = 74999543328.

The previous prime is 257290140031. The next prime is 257290140043. The reversal of 257290140042 is 240041092752.

257290140042 is a `hidden beast` number, since 2 + 572 + 9 + 0 + 1 + 40 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 257290139979 and 257290140006.

It is not an unprimeable number, because it can be changed into a prime (257290140043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3174988 + ... + 3255015.

It is an arithmetic number, because the mean of its divisors is an integer number (8169320082).

Almost surely, 2^257290140042 is an apocalyptic number.

257290140042 is an abundant number, since it is smaller than the sum of its proper divisors (396255466518).

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

257290140042 is a wasteful number, since it uses less digits than its factorization.

257290140042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430049 (or 6430040 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 257290140042 in words is "two hundred fifty-seven billion, two hundred ninety million, one hundred forty thousand, forty-two".