42124144142124 has 72 divisors (see below), whose sum is σ = 120166053855120. Its totient is φ = 12324723465600.

The previous prime is 42124144142123. The next prime is 42124144142161.

42124144142124 is a `hidden beast` number, since 4 + 2 + 1 + 24 + 1 + 4 + 414 + 212 + 4 = 666.

42124144142124 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42124144142124² (a number of 28 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (42124144142123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834024747 + ... + 1834047714.

It is an arithmetic number, because the mean of its divisors is an integer number (1668972970210).

Almost surely, 2^{42124144142124} is an apocalyptic number.

42124144142124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42124144142124 is an abundant number, since it is smaller than the sum of its proper divisors (78041909712996).

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

42124144142124 is a wasteful number, since it uses less digits than its factorization.

42124144142124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668072511 (or 3668072506 counting only the distinct ones).

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

It can be divided in two parts, 4212414 and 4142124, that added together give a palindrome (8354538).

The spelling of 42124144142124 in words is "forty-two trillion, one hundred twenty-four billion, one hundred forty-four million, one hundred forty-two thousand, one hundred twenty-four".