42132422423124 has 144 divisors (see below), whose sum is σ = 116761965989760. Its totient is φ = 12703960704000.

The previous prime is 42132422423101. The next prime is 42132422423131.

42132422423124 is a `hidden beast` number, since 4 + 213 + 2 + 4 + 2 + 2 + 423 + 12 + 4 = 666.

42132422423124 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69775144 + ... + 70376384.

It is an arithmetic number, because the mean of its divisors is an integer number (810846986040).

Almost surely, 2^{42132422423124} is an apocalyptic number.

42132422423124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42132422423124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58380982994880).

42132422423124 is an abundant number, since it is smaller than the sum of its proper divisors (74629543566636).

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

42132422423124 is a wasteful number, since it uses less digits than its factorization.

42132422423124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602142 (or 602137 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4213242 and 2423124, that added together give a palindrome (6636366).

The spelling of 42132422423124 in words is "forty-two trillion, one hundred thirty-two billion, four hundred twenty-two million, four hundred twenty-three thousand, one hundred twenty-four".