242400462912 has 84 divisors (see below), whose sum is σ = 694869208176. Its totient is φ = 80791776000.

The previous prime is 242400462911. The next prime is 242400462943. The reversal of 242400462912 is 219264004242.

242400462912 is a `hidden beast` number, since 2 + 4 + 24 + 0 + 0 + 4 + 629 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242400462911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8272287 + ... + 8301537.

Almost surely, 2^242400462912 is an apocalyptic number.

It is an amenable number.

242400462912 is an abundant number, since it is smaller than the sum of its proper divisors (452468745264).

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

242400462912 is a wasteful number, since it uses less digits than its factorization.

242400462912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43656 (or 43643 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 242400462912 in words is "two hundred forty-two billion, four hundred million, four hundred sixty-two thousand, nine hundred twelve".