4005096004 has 24 divisors (see below), whose sum is σ = 8626361408. Its totient is φ = 1584433440.

The previous prime is 4005095987. The next prime is 4005096019. The reversal of 4005096004 is 4006905004.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5501142 + ... + 5501869.

Almost surely, 2^4005096004 is an apocalyptic number.

It is an amenable number.

4005096004 is an abundant number, since it is smaller than the sum of its proper divisors (4621265404).

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

4005096004 is a wasteful number, since it uses less digits than its factorization.

4005096004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11003035 (or 11003033 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 4005096004 is about 63285.8278289855. The cubic root of 4005096004 is about 1588.0748827380.

The spelling of 4005096004 in words is "four billion, five million, ninety-six thousand, four".