4130440314 has 128 divisors (see below), whose sum is σ = 11391916032. Its totient is φ = 963498240.

The previous prime is 4130440313. The next prime is 4130440319.

4130440314 is nontrivially palindromic in base 10.

4130440314 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4130440313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212929 + ... + 231515.

It is an arithmetic number, because the mean of its divisors is an integer number (88999344).

Almost surely, 2^4130440314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130440314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695958016).

4130440314 is an abundant number, since it is smaller than the sum of its proper divisors (7261475718).

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

4130440314 is a wasteful number, since it uses less digits than its factorization.

4130440314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18660.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4130440314 is about 64268.5017251842. The cubic root of 4130440314 is about 1604.4719055291.

It can be divided in two parts, 41304 and 40314, that added together give a palindrome (81618).

The spelling of 4130440314 in words is "four billion, one hundred thirty million, four hundred forty thousand, three hundred fourteen".