4430013120 has 280 divisors, whose sum is σ = 16971806544. Its totient is φ = 1090381824.

The previous prime is 4430013101. The next prime is 4430013127. The reversal of 4430013120 is 213100344.

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 = 4430013093 and 4430013102.

It is not an unprimeable number, because it can be changed into a prime (4430013127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330387 + ... + 343533.

Almost surely, 2^4430013120 is an apocalyptic number.

4430013120 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 4430013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8485903272).

4430013120 is an abundant number, since it is smaller than the sum of its proper divisors (12541793424).

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

4430013120 is a wasteful number, since it uses less digits than its factorization.

4430013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13170 counting only the distinct ones).

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

The square root of 4430013120 is about 66558.3437293928. The cubic root of 4430013120 is about 1642.3599179964.

Adding to 4430013120 its reverse (213100344), we get a palindrome (4643113464).

The spelling of 4430013120 in words is "four billion, four hundred thirty million, thirteen thousand, one hundred twenty".