42132333323124 has 54 divisors (see below), whose sum is σ = 117063276001490. Its totient is φ = 12767373732960.

The previous prime is 42132333323077. The next prime is 42132333323137.

42132333323124 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 2 + 3 + 3 + 332 + 312 + 4 = 666.

42132333323124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 41839292988900 + 293040334224 = 6468330^2 + 541332^2 .

It is a super-2 number, since 2×42132333323124² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4836122059 + ... + 4836130770.

Almost surely, 2^{42132333323124} is an apocalyptic number.

42132333323124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42132333323124 is an abundant number, since it is smaller than the sum of its proper divisors (74930942678366).

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

42132333323124 is a wasteful number, since it uses less digits than its factorization.

42132333323124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672252861 (or 9672252845 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

It can be divided in two parts, 4213233 and 3323124, that added together give a palindrome (7536357).

The spelling of 42132333323124 in words is "forty-two trillion, one hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty-four".