42041233214024 has 32 divisors (see below), whose sum is σ = 91051868728800. Its totient is φ = 17985554315520.

The previous prime is 42041233214017. The next prime is 42041233214059.

It is a happy number.

42041233214024 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14051212814 + ... + 14051215805.

It is an arithmetic number, because the mean of its divisors is an integer number (2845370897775).

Almost surely, 2^{42041233214024} is an apocalyptic number.

42041233214024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42041233214024 is an abundant number, since it is smaller than the sum of its proper divisors (49010635514776).

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

42041233214024 is a wasteful number, since it uses less digits than its factorization.

42041233214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28102428653 (or 28102428649 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 4204123 and 3214024, that added together give a palindrome (7418147).

The spelling of 42041233214024 in words is "forty-two trillion, forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, twenty-four".