4130114304 has 72 divisors (see below), whose sum is σ = 11147092992. Its totient is φ = 1357296640.

The previous prime is 4130114297. The next prime is 4130114309. The reversal of 4130114304 is 4034110314.

It is not an unprimeable number, because it can be changed into a prime (4130114309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16657 + ... + 92399.

It is an arithmetic number, because the mean of its divisors is an integer number (154820736).

Almost surely, 2^4130114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573546496).

4130114304 is an abundant number, since it is smaller than the sum of its proper divisors (7016978688).

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

4130114304 is an equidigital number, since it uses as much as digits as its factorization.

4130114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75833 (or 75819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4130114304 is about 64265.9653627019. The cubic root of 4130114304 is about 1604.4296914947.

Adding to 4130114304 its reverse (4034110314), we get a palindrome (8164224618).

The spelling of 4130114304 in words is "four billion, one hundred thirty million, one hundred fourteen thousand, three hundred four".