4224013120 has 112 divisors (see below), whose sum is σ = 11210909760. Its totient is φ = 1506484224.

The previous prime is 4224013117. The next prime is 4224013169. The reversal of 4224013120 is 213104224.

4224013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82927 + ... + 123793.

Almost surely, 2^4224013120 is an apocalyptic number.

4224013120 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 4224013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605454880).

4224013120 is an abundant number, since it is smaller than the sum of its proper divisors (6986896640).

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

4224013120 is a wasteful number, since it uses less digits than its factorization.

4224013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40920 (or 40910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4224013120 is about 64992.4081720319. The cubic root of 4224013120 is about 1616.4976818920.

Adding to 4224013120 its reverse (213104224), we get a palindrome (4437117344).

The spelling of 4224013120 in words is "four billion, two hundred twenty-four million, thirteen thousand, one hundred twenty".