42126322362124 has 96 divisors (see below), whose sum is σ = 98990923239936. Its totient is φ = 15148979527680.

The previous prime is 42126322361989. The next prime is 42126322362181.

42126322362124 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45155839 + ... + 46079305.

It is an arithmetic number, because the mean of its divisors is an integer number (1031155450416).

Almost surely, 2^{42126322362124} is an apocalyptic number.

42126322362124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42126322362124 is an abundant number, since it is smaller than the sum of its proper divisors (56864600877812).

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

42126322362124 is a wasteful number, since it uses less digits than its factorization.

42126322362124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934895 (or 934893 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 4212632 and 2362124, that added together give a palindrome (6574756).

The spelling of 42126322362124 in words is "forty-two trillion, one hundred twenty-six billion, three hundred twenty-two million, three hundred sixty-two thousand, one hundred twenty-four".