4004564016 has 40 divisors (see below), whose sum is σ = 10352105280. Its totient is φ = 1333953856.

The previous prime is 4004563961. The next prime is 4004564029. The reversal of 4004564016 is 6104654004.

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, 45715 + ... + 100493.

It is an arithmetic number, because the mean of its divisors is an integer number (258802632).

Almost surely, 2^4004564016 is an apocalyptic number.

It is an amenable number.

4004564016 is an abundant number, since it is smaller than the sum of its proper divisors (6347541264).

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

4004564016 is a wasteful number, since it uses less digits than its factorization.

4004564016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56313 (or 56307 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4004564016 is about 63281.6246314837. The cubic root of 4004564016 is about 1588.0045661390.

The spelling of 4004564016 in words is "four billion, four million, five hundred sixty-four thousand, sixteen".