240331424133042 has 36 divisors (see below), whose sum is σ = 572359548663630. Its totient is φ = 72827704282080.

The previous prime is 240331424133001. The next prime is 240331424133061.

240331424133042 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 314 + 2 + 4 + 1 + 330 + 4 + 2 = 666.

240331424133042 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 214881326286561 + 25450097846481 = 14658831^2 + 5044809^2 .

It is a super-2 number, since 2×240331424133042² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240331424132988 and 240331424133006.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55172501067 + ... + 55172505422.

Almost surely, 2^{240331424133042} is an apocalyptic number.

240331424133042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

240331424133042 is an abundant number, since it is smaller than the sum of its proper divisors (332028124530588).

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

240331424133042 is a wasteful number, since it uses less digits than its factorization.

240331424133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110345006519 (or 110345006505 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 240331424133042 in words is "two hundred forty trillion, three hundred thirty-one billion, four hundred twenty-four million, one hundred thirty-three thousand, forty-two".