240542201125215 has 120 divisors (see below), whose sum is σ = 478305467972640. Its totient is φ = 115556551102080.

The previous prime is 240542201125211. The next prime is 240542201125217. The reversal of 240542201125215 is 512521102245042.

It is a happy number.

240542201125215 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 422 + 0 + 1 + 12 + 5 + 215 = 666.

It is not a de Polignac number, because 240542201125215 - 2² = 240542201125211 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 240542201125215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240542201125211) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17174619 + ... + 27857708.

It is an arithmetic number, because the mean of its divisors is an integer number (3985878899772).

Almost surely, 2^{240542201125215} is an apocalyptic number.

240542201125215 is a deficient number, since it is larger than the sum of its proper divisors (237763266847425).

240542201125215 is a wasteful number, since it uses less digits than its factorization.

240542201125215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45032475 (or 45032455 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 240542201125215 in words is "two hundred forty trillion, five hundred forty-two billion, two hundred one million, one hundred twenty-five thousand, two hundred fifteen".