4005816096 has 48 divisors (see below), whose sum is σ = 10521530208. Its totient is φ = 1334476800.

The previous prime is 4005816079. The next prime is 4005816121. The reversal of 4005816096 is 6906185004.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162336 + ... + 185376.

It is an arithmetic number, because the mean of its divisors is an integer number (219198546).

Almost surely, 2^4005816096 is an apocalyptic number.

It is an amenable number.

4005816096 is an abundant number, since it is smaller than the sum of its proper divisors (6515714112).

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

4005816096 is a wasteful number, since it uses less digits than its factorization.

4005816096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24865 (or 24857 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 4005816096 is about 63291.5167775271. The cubic root of 4005816096 is about 1588.1700524492.

The spelling of 4005816096 in words is "four billion, five million, eight hundred sixteen thousand, ninety-six".