4431441344 has 56 divisors (see below), whose sum is σ = 9602955648. Its totient is φ = 2012215040.

The previous prime is 4431441341. The next prime is 4431441361.

4431441344 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4431441344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431441341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 832997 + ... + 838299.

Almost surely, 2^4431441344 is an apocalyptic number.

4431441344 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 4431441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801477824).

4431441344 is an abundant number, since it is smaller than the sum of its proper divisors (5171514304).

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

4431441344 is a wasteful number, since it uses less digits than its factorization.

4431441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6503 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 4431441344 is about 66569.0719779088. The cubic root of 4431441344 is about 1642.5363964669.

It can be divided in two parts, 44314 and 41344, that added together give a palindrome (85658).

The spelling of 4431441344 in words is "four billion, four hundred thirty-one million, four hundred forty-one thousand, three hundred forty-four".