4134130314314 has 64 divisors (see below), whose sum is σ = 8394891708672. Its totient is φ = 1486800025920.

The previous prime is 4134130314289. The next prime is 4134130314317.

4134130314314 is nontrivially palindromic in base 10.

4134130314314 is digitally balanced in base 2, because in such base 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 (4134130314317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8290817 + ... + 8775300.

It is an arithmetic number, because the mean of its divisors is an integer number (131170182948).

Almost surely, 2^{4134130314314} is an apocalyptic number.

4134130314314 is an abundant number, since it is smaller than the sum of its proper divisors (4260761394358).

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

4134130314314 is a wasteful number, since it uses less digits than its factorization.

4134130314314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17066172 (or 17066150 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 4134130 and 314314, that added together give a palindrome (4448444).

The spelling of 4134130314314 in words is "four trillion, one hundred thirty-four billion, one hundred thirty million, three hundred fourteen thousand, three hundred fourteen".