4413129120 has 288 divisors, whose sum is σ = 15624986832. Its totient is φ = 1133346816.

The previous prime is 4413129101. The next prime is 4413129151. The reversal of 4413129120 is 219213144.

It is a happy number.

4413129120 is a `hidden beast` number, since 4 + 413 + 129 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2855406096 + 1557723024 = 53436^2 + 39468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6020274 + ... + 6021006.

Almost surely, 2^4413129120 is an apocalyptic number.

4413129120 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 4413129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812493416).

4413129120 is an abundant number, since it is smaller than the sum of its proper divisors (11211857712).

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

4413129120 is a wasteful number, since it uses less digits than its factorization.

4413129120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4413129120 is about 66431.3865578613. The cubic root of 4413129120 is about 1640.2707663188.

The spelling of 4413129120 in words is "four billion, four hundred thirteen million, one hundred twenty-nine thousand, one hundred twenty".