4220444440224 has 144 divisors (see below), whose sum is σ = 12336685609248. Its totient is φ = 1367635539456.

The previous prime is 4220444440109. The next prime is 4220444440297.

4220444440224 is a `hidden beast` number, since 4 + 2 + 204 + 4 + 4 + 440 + 2 + 2 + 4 = 666.

4220444440224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12481839 + ... + 12815505.

It is an arithmetic number, because the mean of its divisors is an integer number (85671427842).

Almost surely, 2^{4220444440224} 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 4220444440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168342804624).

4220444440224 is an abundant number, since it is smaller than the sum of its proper divisors (8116241169024).

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

4220444440224 is a wasteful number, since it uses less digits than its factorization.

4220444440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334907 (or 334896 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 4220 and 444440224, that added together give a palindrome (444444444).

The spelling of 4220444440224 in words is "four trillion, two hundred twenty billion, four hundred forty-four million, four hundred forty thousand, two hundred twenty-four".