42233222233224 has 48 divisors (see below), whose sum is σ = 124779974782320. Its totient is φ = 12797946131040.

The previous prime is 42233222233207. The next prime is 42233222233379.

It is a happy number.

42233222233224 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 322 + 2 + 2 + 3 + 322 + 4 = 666.

42233222233224 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26662386982 + ... + 26662388565.

It is an arithmetic number, because the mean of its divisors is an integer number (2599582807965).

Almost surely, 2^{42233222233224} is an apocalyptic number.

42233222233224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42233222233224 is an abundant number, since it is smaller than the sum of its proper divisors (82546752549096).

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

42233222233224 is a wasteful number, since it uses less digits than its factorization.

42233222233224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53324775570 (or 53324775563 counting only the distinct ones).

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

It can be divided in two parts, 4223322 and 2233224, that added together give a palindrome (6456546).

The spelling of 42233222233224 in words is "forty-two trillion, two hundred thirty-three billion, two hundred twenty-two million, two hundred thirty-three thousand, two hundred twenty-four".