240534234432144 has 120 divisors (see below), whose sum is σ = 696380407577400. Its totient is φ = 77412633016320.

The previous prime is 240534234432073. The next prime is 240534234432223. The reversal of 240534234432144 is 441234432435042.

240534234432144 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 3 + 42 + 34 + 432 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19205534937744 + 221328699494400 = 4382412^2 + 14877120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 240534234432144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709871724 + ... + 710210484.

It is an arithmetic number, because the mean of its divisors is an integer number (5803170063145).

Almost surely, 2^{240534234432144} is an apocalyptic number.

240534234432144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240534234432144 is an abundant number, since it is smaller than the sum of its proper divisors (455846173145256).

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

240534234432144 is a wasteful number, since it uses less digits than its factorization.

240534234432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508833 (or 508824 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 240534234432144 its reverse (441234432435042), we get a palindrome (681768666867186).

The spelling of 240534234432144 in words is "two hundred forty trillion, five hundred thirty-four billion, two hundred thirty-four million, four hundred thirty-two thousand, one hundred forty-four".