4144330120 has 64 divisors (see below), whose sum is σ = 10704798720. Its totient is φ = 1414520064.

The previous prime is 4144330111. The next prime is 4144330129. The reversal of 4144330120 is 210334414.

4144330120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4144330111) and next prime (4144330129).

It is a junction number, because it is equal to n+sod(n) for n = 4144330091 and 4144330100.

It is not an unprimeable number, because it can be changed into a prime (4144330129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29254 + ... + 95626.

It is an arithmetic number, because the mean of its divisors is an integer number (167262480).

Almost surely, 2^4144330120 is an apocalyptic number.

4144330120 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 4144330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352399360).

4144330120 is an abundant number, since it is smaller than the sum of its proper divisors (6560468600).

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

4144330120 is a wasteful number, since it uses less digits than its factorization.

4144330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66614 (or 66610 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4144330120 is about 64376.4717890007. The cubic root of 4144330120 is about 1606.2683943247.

Adding to 4144330120 its reverse (210334414), we get a palindrome (4354664534).

The spelling of 4144330120 in words is "four billion, one hundred forty-four million, three hundred thirty thousand, one hundred twenty".