44331120 has 120 divisors (see below), whose sum is σ = 155409696. Its totient is φ = 11303424.

The previous prime is 44331113. The next prime is 44331137. The reversal of 44331120 is 2113344.

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 = 44331093 and 44331102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15222 + ... + 17898.

Almost surely, 2^44331120 is an apocalyptic number.

44331120 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 44331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77704848).

44331120 is an abundant number, since it is smaller than the sum of its proper divisors (111078576).

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

44331120 is a wasteful number, since it uses less digits than its factorization.

44331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2710 counting only the distinct ones).

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

The square root of 44331120 is about 6658.1619085150. The cubic root of 44331120 is about 353.9182038344.

Adding to 44331120 its reverse (2113344), we get a palindrome (46444464).

The spelling of 44331120 in words is "forty-four million, three hundred thirty-one thousand, one hundred twenty".