4400332000 has 96 divisors (see below), whose sum is σ = 10832814720. Its totient is φ = 1756684800.

The previous prime is 4400331989. The next prime is 4400332007. The reversal of 4400332000 is 2330044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400332007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315337 + ... + 3316663.

It is an arithmetic number, because the mean of its divisors is an integer number (112841820).

Almost surely, 2^4400332000 is an apocalyptic number.

4400332000 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 4400332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416407360).

4400332000 is an abundant number, since it is smaller than the sum of its proper divisors (6432482720).

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

4400332000 is a wasteful number, since it uses less digits than its factorization.

4400332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 4400332000 is about 66334.9983040627. The cubic root of 4400332000 is about 1638.6837545074.

Adding to 4400332000 its reverse (2330044), we get a palindrome (4402662044).

It can be divided in two parts, 4400 and 332000, that added together give a square (336400 = 580²).

The spelling of 4400332000 in words is "four billion, four hundred million, three hundred thirty-two thousand".