42114002031144 has 48 divisors (see below), whose sum is σ = 117141424576020. Its totient is φ = 13658595252480.

The previous prime is 42114002031137. The next prime is 42114002031173. The reversal of 42114002031144 is 44113020041124.

42114002031144 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 400 + 203 + 11 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30654626102244 + 11459375928900 = 5536662^2 + 3385170^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7904276997 + ... + 7904282324.

Almost surely, 2^{42114002031144} is an apocalyptic number.

It is an amenable number.

42114002031144 is an abundant number, since it is smaller than the sum of its proper divisors (75027422544876).

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

42114002031144 is a wasteful number, since it uses less digits than its factorization.

42114002031144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15808559370 (or 15808559363 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42114002031144 its reverse (44113020041124), we get a palindrome (86227022072268).

The spelling of 42114002031144 in words is "forty-two trillion, one hundred fourteen billion, two million, thirty-one thousand, one hundred forty-four".