4400331120 has 120 divisors (see below), whose sum is σ = 14863620096. Its totient is φ = 1166605824.

The previous prime is 4400331113. The next prime is 4400331121. The reversal of 4400331120 is 211330044.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4400331093 and 4400331102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400331121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106897 + ... + 142223.

Almost surely, 2^4400331120 is an apocalyptic number.

4400331120 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 4400331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431810048).

4400331120 is an abundant number, since it is smaller than the sum of its proper divisors (10463288976).

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

4400331120 is a wasteful number, since it uses less digits than its factorization.

4400331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35519 (or 35510 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4400331120 is about 66334.9916710630. The cubic root of 4400331120 is about 1638.6836452701.

Adding to 4400331120 its reverse (211330044), we get a palindrome (4611661164).

The spelling of 4400331120 in words is "four billion, four hundred million, three hundred thirty-one thousand, one hundred twenty".