4005009113064 has 32 divisors (see below), whose sum is σ = 10013667988320. Its totient is φ = 1334850343616.

The previous prime is 4005009113041. The next prime is 4005009113087. The reversal of 4005009113064 is 4603119005004.

It is an interprime number because it is at equal distance from previous prime (4005009113041) and next prime (4005009113087).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9329079 + ... + 9748934.

It is an arithmetic number, because the mean of its divisors is an integer number (312927124635).

Almost surely, 2^{4005009113064} is an apocalyptic number.

It is an amenable number.

4005009113064 is an abundant number, since it is smaller than the sum of its proper divisors (6008658875256).

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

4005009113064 is a wasteful number, since it uses less digits than its factorization.

4005009113064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19086769 (or 19086765 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 4005009113064 in words is "four trillion, five billion, nine million, one hundred thirteen thousand, sixty-four".