4220446440224 has 48 divisors (see below), whose sum is σ = 9498195201600. Its totient is φ = 1808345481984.

The previous prime is 4220446440193. The next prime is 4220446440271.

4220446440224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199219 + ... + 3143090.

It is an arithmetic number, because the mean of its divisors is an integer number (197879066700).

Almost surely, 2^{4220446440224} is an apocalyptic number.

It is an amenable number.

4220446440224 is an abundant number, since it is smaller than the sum of its proper divisors (5277748761376).

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

4220446440224 is a wasteful number, since it uses less digits than its factorization.

4220446440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346665 (or 4346657 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

The spelling of 4220446440224 in words is "four trillion, two hundred twenty billion, four hundred forty-six million, four hundred forty thousand, two hundred twenty-four".