4431331344 has 160 divisors (see below), whose sum is σ = 12949706880. Its totient is φ = 1293926400.

The previous prime is 4431331327. The next prime is 4431331351.

4431331344 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128384 + ... + 2130464.

It is an arithmetic number, because the mean of its divisors is an integer number (80935668).

Almost surely, 2^4431331344 is an apocalyptic number.

4431331344 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 4431331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474853440).

4431331344 is an abundant number, since it is smaller than the sum of its proper divisors (8518375536).

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

4431331344 is a wasteful number, since it uses less digits than its factorization.

4431331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2243 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 4431331344 is about 66568.2457632767. The cubic root of 4431331344 is about 1642.5228056669.

It can be divided in two parts, 44313 and 31344, that added together give a palindrome (75657).

The spelling of 4431331344 in words is "four billion, four hundred thirty-one million, three hundred thirty-one thousand, three hundred forty-four".