4440224414120 has 128 divisors (see below), whose sum is σ = 10937660947200. Its totient is φ = 1608863692800.

The previous prime is 4440224414107. The next prime is 4440224414137. The reversal of 4440224414120 is 214144220444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669007442 + ... + 669014078.

It is an arithmetic number, because the mean of its divisors is an integer number (85450476150).

Almost surely, 2^{4440224414120} is an apocalyptic number.

4440224414120 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 4440224414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468830473600).

4440224414120 is an abundant number, since it is smaller than the sum of its proper divisors (6497436533080).

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

4440224414120 is a wasteful number, since it uses less digits than its factorization.

4440224414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11859 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 4440224414120 its reverse (214144220444), we get a palindrome (4654368634564).

The spelling of 4440224414120 in words is "four trillion, four hundred forty billion, two hundred twenty-four million, four hundred fourteen thousand, one hundred twenty".