4220244420224 has 64 divisors (see below), whose sum is σ = 9666129029760. Its totient is φ = 1797845720064.

The previous prime is 4220244420181. The next prime is 4220244420281.

4220244420224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13952447 + ... + 14251710.

It is an arithmetic number, because the mean of its divisors is an integer number (151033266090).

Almost surely, 2^{4220244420224} is an apocalyptic number.

It is an amenable number.

4220244420224 is an abundant number, since it is smaller than the sum of its proper divisors (5445884609536).

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

4220244420224 is a wasteful number, since it uses less digits than its factorization.

4220244420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28204345 (or 28204333 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

The spelling of 4220244420224 in words is "four trillion, two hundred twenty billion, two hundred forty-four million, four hundred twenty thousand, two hundred twenty-four".