8000414316 has 36 divisors (see below), whose sum is σ = 20284397224. Its totient is φ = 2658744000.

The previous prime is 8000414297. The next prime is 8000414333. The reversal of 8000414316 is 6134140008.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8000414316.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323785 + ... + 347616.

Almost surely, 2^8000414316 is an apocalyptic number.

It is an amenable number.

8000414316 is an abundant number, since it is smaller than the sum of its proper divisors (12283982908).

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

8000414316 is a wasteful number, since it uses less digits than its factorization.

8000414316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671742 (or 671737 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8000414316 is about 89445.0351668554. The cubic root of 8000414316 is about 2000.0345257373.

It can be divided in two parts, 800041 and 4316, that added together give a cube (804357 = 93³).

The spelling of 8000414316 in words is "eight billion, four hundred fourteen thousand, three hundred sixteen".