4431228120 has 480 divisors, whose sum is σ = 16685222400. Its totient is φ = 1053803520.

The previous prime is 4431228119. The next prime is 4431228167. The reversal of 4431228120 is 218221344.

4431228120 is a `hidden beast` number, since 4 + 431 + 228 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34891497 + ... + 34891623.

It is an arithmetic number, because the mean of its divisors is an integer number (34760880).

Almost surely, 2^4431228120 is an apocalyptic number.

4431228120 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 4431228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342611200).

4431228120 is an abundant number, since it is smaller than the sum of its proper divisors (12253994280).

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

4431228120 is a wasteful number, since it uses less digits than its factorization.

4431228120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4431228120 is about 66567.4704341392. The cubic root of 4431228120 is about 1642.5100518557.

Adding to 4431228120 its reverse (218221344), we get a palindrome (4649449464).

The spelling of 4431228120 in words is "four billion, four hundred thirty-one million, two hundred twenty-eight thousand, one hundred twenty".