42233233224 has 128 divisors (see below), whose sum is σ = 131235713280. Its totient is φ = 11028096000.

The previous prime is 42233233181. The next prime is 42233233249.

42233233224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42233233191 and 42233233200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124854 + ... + 316314.

It is an arithmetic number, because the mean of its divisors is an integer number (1025279010).

Almost surely, 2^42233233224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42233233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65617856640).

42233233224 is an abundant number, since it is smaller than the sum of its proper divisors (89002480056).

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

42233233224 is a wasteful number, since it uses less digits than its factorization.

42233233224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191591 (or 191587 counting only the distinct ones).

The product of its digits is 41472, while the sum is 30.

The spelling of 42233233224 in words is "forty-two billion, two hundred thirty-three million, two hundred thirty-three thousand, two hundred twenty-four".