42142411424124 has 72 divisors (see below), whose sum is σ = 116222014621440. Its totient is φ = 12769205450400.

The previous prime is 42142411424063. The next prime is 42142411424137.

42142411424124 is a `hidden beast` number, since 4 + 2 + 142 + 411 + 42 + 41 + 24 = 666.

42142411424124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945732 + ... + 9229259.

It is an arithmetic number, because the mean of its divisors is an integer number (1614194647520).

Almost surely, 2^{42142411424124} is an apocalyptic number.

42142411424124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42142411424124 is an abundant number, since it is smaller than the sum of its proper divisors (74079603197316).

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

42142411424124 is a wasteful number, since it uses less digits than its factorization.

42142411424124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185471 (or 10185466 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4214241 and 1424124, that added together give a palindrome (5638365).

The spelling of 42142411424124 in words is "forty-two trillion, one hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, one hundred twenty-four".