42232322323224 has 48 divisors (see below), whose sum is σ = 124777315957320. Its totient is φ = 12797673431040.

The previous prime is 42232322323199. The next prime is 42232322323241.

It is a happy number.

42232322323224 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 2 + 322 + 3 + 2 + 322 + 4 = 666.

42232322323224 is nontrivially palindromic in base 10.

42232322323224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26661818857 + ... + 26661820440.

Almost surely, 2^{42232322323224} is an apocalyptic number.

42232322323224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42232322323224 is an abundant number, since it is smaller than the sum of its proper divisors (82544993634096).

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

42232322323224 is a wasteful number, since it uses less digits than its factorization.

42232322323224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53323639320 (or 53323639313 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 4223232 and 2323224, that added together give a palindrome (6546456).

The spelling of 42232322323224 in words is "forty-two trillion, two hundred thirty-two billion, three hundred twenty-two million, three hundred twenty-three thousand, two hundred twenty-four".