4224202024224 has 576 divisors, whose sum is σ = 14284740137472. Its totient is φ = 1082717798400.

The previous prime is 4224202024139. The next prime is 4224202024247.

4224202024224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4224202024191 and 4224202024200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679456764 + ... + 679462980.

It is an arithmetic number, because the mean of its divisors is an integer number (24799896072).

Almost surely, 2^{4224202024224} 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 4224202024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142370068736).

4224202024224 is an abundant number, since it is smaller than the sum of its proper divisors (10060538113248).

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

4224202024224 is a wasteful number, since it uses less digits than its factorization.

4224202024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6554 counting only the distinct ones).

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

The spelling of 4224202024224 in words is "four trillion, two hundred twenty-four billion, two hundred two million, twenty-four thousand, two hundred twenty-four".