4189445120 has 132 divisors (see below), whose sum is σ = 11691235800. Its totient is φ = 1436295168.

The previous prime is 4189445111. The next prime is 4189445123. The reversal of 4189445120 is 215449814.

4189445120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4189445123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242531 + ... + 259229.

Almost surely, 2^4189445120 is an apocalyptic number.

4189445120 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 4189445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845617900).

4189445120 is an abundant number, since it is smaller than the sum of its proper divisors (7501790680).

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

4189445120 is a wasteful number, since it uses less digits than its factorization.

4189445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16738 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 4189445120 is about 64725.9230911387. The cubic root of 4189445120 is about 1612.0759610119.

The spelling of 4189445120 in words is "four billion, one hundred eighty-nine million, four hundred forty-five thousand, one hundred twenty".