4431144640 has 112 divisors (see below), whose sum is σ = 11423123712. Its totient is φ = 1627508736.

The previous prime is 4431144617. The next prime is 4431144661. The reversal of 4431144640 is 464411344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816817 + ... + 822223.

It is an arithmetic number, because the mean of its divisors is an integer number (101992176).

Almost surely, 2^4431144640 is an apocalyptic number.

4431144640 is a gapful number since it is divisible by the number (40) 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 4431144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711561856).

4431144640 is an abundant number, since it is smaller than the sum of its proper divisors (6991979072).

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

4431144640 is a wasteful number, since it uses less digits than its factorization.

4431144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5624 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 4431144640 is about 66566.8433981964. The cubic root of 4431144640 is about 1642.4997373637.

Adding to 4431144640 its reverse (464411344), we get a palindrome (4895555984).

The spelling of 4431144640 in words is "four billion, four hundred thirty-one million, one hundred forty-four thousand, six hundred forty".