642245242260400 has 120 divisors (see below), whose sum is σ = 1625698644500480. Its totient is φ = 243153243290880.

The previous prime is 642245242260331. The next prime is 642245242260409. The reversal of 642245242260400 is 4062242542246.

It is a super-2 number, since 2×642245242260400² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642245242260409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30609984 + ... + 47132383.

Almost surely, 2^{642245242260400} is an apocalyptic number.

It is an amenable number.

642245242260400 is an abundant number, since it is smaller than the sum of its proper divisors (983453402240080).

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

642245242260400 is a wasteful number, since it uses less digits than its factorization.

642245242260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77743491 (or 77743480 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 43.

The spelling of 642245242260400 in words is "six hundred forty-two trillion, two hundred forty-five billion, two hundred forty-two million, two hundred sixty thousand, four hundred".