4431130224 has 160 divisors (see below), whose sum is σ = 11947806720. Its totient is φ = 1414423296.

The previous prime is 4431130217. The next prime is 4431130241. The reversal of 4431130224 is 4220311344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4431130194 and 4431130203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27184767 + ... + 27184929.

It is an arithmetic number, because the mean of its divisors is an integer number (74673792).

Almost surely, 2^4431130224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431130224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5973903360).

4431130224 is an abundant number, since it is smaller than the sum of its proper divisors (7516676496).

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

4431130224 is a wasteful number, since it uses less digits than its factorization.

4431130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4431130224 is about 66566.7351159722. The cubic root of 4431130224 is about 1642.4979561609.

Adding to 4431130224 its reverse (4220311344), we get a palindrome (8651441568).

The spelling of 4431130224 in words is "four billion, four hundred thirty-one million, one hundred thirty thousand, two hundred twenty-four".