4444221584 has 30 divisors (see below), whose sum is σ = 9464635110. Its totient is φ = 2020099840.

The previous prime is 4444221577. The next prime is 4444221599. The reversal of 4444221584 is 4851224444.

It can be written as a sum of positive squares in only one way, i.e., 4431831184 + 12390400 = 66572^2 + 3520^2 .

It is a super-3 number, since 3×4444221584³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1145849 + ... + 1149720.

It is an arithmetic number, because the mean of its divisors is an integer number (315487837).

Almost surely, 2^4444221584 is an apocalyptic number.

4444221584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444221584 is an abundant number, since it is smaller than the sum of its proper divisors (5020413526).

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

4444221584 is a wasteful number, since it uses less digits than its factorization.

4444221584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295599 (or 2295582 counting only the distinct ones).

The product of its digits is 163840, while the sum is 38.

The square root of 4444221584 is about 66664.9951923796. The cubic root of 4444221584 is about 1644.1139013717.

The spelling of 4444221584 in words is "four billion, four hundred forty-four million, two hundred twenty-one thousand, five hundred eighty-four".