240531141135042 has 24 divisors (see below), whose sum is σ = 521151131432880. Its totient is φ = 80176996946520.

The previous prime is 240531141135037. The next prime is 240531141135073.

240531141135042 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 3 + 1 + 141 + 1 + 3 + 504 + 2 = 666.

240531141135042 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 240531141134988 and 240531141135006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35752917 + ... + 41944407.

It is an arithmetic number, because the mean of its divisors is an integer number (21714630476370).

Almost surely, 2^{240531141135042} is an apocalyptic number.

240531141135042 is an abundant number, since it is smaller than the sum of its proper divisors (280619990297838).

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

240531141135042 is a wasteful number, since it uses less digits than its factorization.

240531141135042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349758 (or 8349755 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 240531141135042 in words is "two hundred forty trillion, five hundred thirty-one billion, one hundred forty-one million, one hundred thirty-five thousand, forty-two".