4220332330224 has 160 divisors (see below), whose sum is σ = 11236348288000. Its totient is φ = 1363975842816.

The previous prime is 4220332330217. The next prime is 4220332330271.

4220332330224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4220332330224³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4220332330191 and 4220332330200.

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, 1324231959 + ... + 1324235145.

It is an arithmetic number, because the mean of its divisors is an integer number (70227176800).

Almost surely, 2^{4220332330224} 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 4220332330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618174144000).

4220332330224 is an abundant number, since it is smaller than the sum of its proper divisors (7016015957776).

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

4220332330224 is a wasteful number, since it uses less digits than its factorization.

4220332330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5601 counting only the distinct ones).

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

The spelling of 4220332330224 in words is "four trillion, two hundred twenty billion, three hundred thirty-two million, three hundred thirty thousand, two hundred twenty-four".