42331233213324 has 144 divisors (see below), whose sum is σ = 120762646411680. Its totient is φ = 12390867840000.

The previous prime is 42331233213299. The next prime is 42331233213329.

42331233213324 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 1 + 2 + 3 + 321 + 3 + 324 = 666.

42331233213324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42331233213324² (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 (42331233213329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11267319 + ... + 14546990.

It is an arithmetic number, because the mean of its divisors is an integer number (838629488970).

Almost surely, 2^{42331233213324} is an apocalyptic number.

42331233213324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42331233213324 is an abundant number, since it is smaller than the sum of its proper divisors (78431413198356).

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

42331233213324 is a wasteful number, since it uses less digits than its factorization.

42331233213324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25814472 (or 25814467 counting only the distinct ones).

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

It can be divided in two parts, 4233123 and 3213324, that added together give a palindrome (7446447).

The spelling of 42331233213324 in words is "forty-two trillion, three hundred thirty-one billion, two hundred thirty-three million, two hundred thirteen thousand, three hundred twenty-four".