4431221344 has 288 divisors, whose sum is σ = 10939622400. Its totient is φ = 1756339200.

The previous prime is 4431221321. The next prime is 4431221359.

4431221344 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66137599 + ... + 66137665.

It is an arithmetic number, because the mean of its divisors is an integer number (37984800).

Almost surely, 2^4431221344 is an apocalyptic number.

4431221344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469811200).

4431221344 is an abundant number, since it is smaller than the sum of its proper divisors (6508401056).

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

4431221344 is a wasteful number, since it uses less digits than its factorization.

4431221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4431221344 is about 66567.4195383898. The cubic root of 4431221344 is about 1642.5092146420.

It can be divided in two parts, 44312 and 21344, that added together give a palindrome (65656).

The spelling of 4431221344 in words is "four billion, four hundred thirty-one million, two hundred twenty-one thousand, three hundred forty-four".