742257120361 has 16 divisors (see below), whose sum is σ = 775738402240. Its totient is φ = 709539082560.

The previous prime is 742257120349. The next prime is 742257120413. The reversal of 742257120361 is 163021752247.

It is a cyclic number.

It is not a de Polignac number, because 742257120361 - 2²⁹ = 741720249449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742257126361) 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, 544531 + ... + 1334551.

It is an arithmetic number, because the mean of its divisors is an integer number (48483650140).

Almost surely, 2^742257120361 is an apocalyptic number.

It is an amenable number.

742257120361 is a deficient number, since it is larger than the sum of its proper divisors (33481281879).

742257120361 is a wasteful number, since it uses less digits than its factorization.

742257120361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790504.

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 742257120361 in words is "seven hundred forty-two billion, two hundred fifty-seven million, one hundred twenty thousand, three hundred sixty-one".