42233111133224 has 64 divisors (see below), whose sum is σ = 87866700480000. Its totient is φ = 18867927094720.

The previous prime is 42233111133217. The next prime is 42233111133263.

42233111133224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26766227 + ... + 28300125.

It is an arithmetic number, because the mean of its divisors is an integer number (1372917195000).

Almost surely, 2^{42233111133224} is an apocalyptic number.

42233111133224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42233111133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43933350240000).

42233111133224 is an abundant number, since it is smaller than the sum of its proper divisors (45633589346776).

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

42233111133224 is a wasteful number, since it uses less digits than its factorization.

42233111133224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539278 (or 1539274 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 4223311 and 1133224, that added together give a palindrome (5356535).

The spelling of 42233111133224 in words is "forty-two trillion, two hundred thirty-three billion, one hundred eleven million, one hundred thirty-three thousand, two hundred twenty-four".