240031442448864 has 120 divisors (see below), whose sum is σ = 770100877948248. Its totient is φ = 72736800733440.

The previous prime is 240031442448827. The next prime is 240031442448923. The reversal of 240031442448864 is 468844244130042.

240031442448864 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 314 + 4 + 244 + 8 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 240031442448864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4209277087 + ... + 4209334110.

Almost surely, 2^{240031442448864} is an apocalyptic number.

240031442448864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240031442448864 is an abundant number, since it is smaller than the sum of its proper divisors (530069435499384).

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

240031442448864 is a wasteful number, since it uses less digits than its factorization.

240031442448864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418611230 (or 8418611213 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 54.

The spelling of 240031442448864 in words is "two hundred forty trillion, thirty-one billion, four hundred forty-two million, four hundred forty-eight thousand, eight hundred sixty-four".