4130414140314 has 96 divisors (see below), whose sum is σ = 10544303430144. Its totient is φ = 1047884977440.

The previous prime is 4130414140297. The next prime is 4130414140361.

4130414140314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563364 + ... + 3271839.

It is an arithmetic number, because the mean of its divisors is an integer number (109836494064).

Almost surely, 2^{4130414140314} is an apocalyptic number.

4130414140314 is an abundant number, since it is smaller than the sum of its proper divisors (6413889289830).

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

4130414140314 is a wasteful number, since it uses less digits than its factorization.

4130414140314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835312 (or 4835269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 4130414140314 in words is "four trillion, one hundred thirty billion, four hundred fourteen million, one hundred forty thousand, three hundred fourteen".