4130301120 has 504 divisors, whose sum is σ = 15296759856. Its totient is φ = 942796800.

The previous prime is 4130301101. The next prime is 4130301143. The reversal of 4130301120 is 211030314.

4130301120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4130301120.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111629742 + ... + 111629778.

It is an arithmetic number, because the mean of its divisors is an integer number (30350714).

Almost surely, 2^4130301120 is an apocalyptic number.

4130301120 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 4130301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7648379928).

4130301120 is an abundant number, since it is smaller than the sum of its proper divisors (11166458736).

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

4130301120 is a wasteful number, since it uses less digits than its factorization.

4130301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4130301120 is about 64267.4188061105. The cubic root of 4130301120 is about 1604.4538819970.

Adding to 4130301120 its reverse (211030314), we get a palindrome (4341331434).

The spelling of 4130301120 in words is "four billion, one hundred thirty million, three hundred one thousand, one hundred twenty".