4222402042224 has 160 divisors (see below), whose sum is σ = 11702798972928. Its totient is φ = 1308586752000.

The previous prime is 4222402042219. The next prime is 4222402042253.

4222402042224 is nontrivially palindromic in base 10.

4222402042224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4222402042191 and 4222402042200.

It is a congruent number.

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, 12094434 + ... + 12438654.

Almost surely, 2^{4222402042224} 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 4222402042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851399486464).

4222402042224 is an abundant number, since it is smaller than the sum of its proper divisors (7480396930704).

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

4222402042224 is a wasteful number, since it uses less digits than its factorization.

4222402042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344567 (or 344561 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

The spelling of 4222402042224 in words is "four trillion, two hundred twenty-two billion, four hundred two million, forty-two thousand, two hundred twenty-four".