242040751593057 has 24 divisors (see below), whose sum is σ = 350492732932160. Its totient is φ = 160955592156000.

The previous prime is 242040751593049. The next prime is 242040751593071. The reversal of 242040751593057 is 750395157040242.

242040751593057 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 40 + 7 + 5 + 1 + 593 + 0 + 5 + 7 = 666.

It is not a de Polignac number, because 242040751593057 - 2³ = 242040751593049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242040751592994 and 242040751593012.

It is not an unprimeable number, because it can be changed into a prime (242040751591057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13225069 + ... + 25670682.

Almost surely, 2^{242040751593057} is an apocalyptic number.

It is an amenable number.

242040751593057 is a deficient number, since it is larger than the sum of its proper divisors (108451981339103).

242040751593057 is a wasteful number, since it uses less digits than its factorization.

242040751593057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38897493 (or 38897490 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 242040751593057 in words is "two hundred forty-two trillion, forty billion, seven hundred fifty-one million, five hundred ninety-three thousand, fifty-seven".