4005008379 has 12 divisors (see below), whose sum is σ = 5854712136. Its totient is φ = 2637836352.

The previous prime is 4005008333. The next prime is 4005008401. The reversal of 4005008379 is 9738005004.

4005008379 is a `hidden beast` number, since 4 + 0 + 0 + 500 + 83 + 79 = 666.

It is not a de Polignac number, because 4005008379 - 2²⁵ = 3971453947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4005008179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2679982 + ... + 2681475.

It is an arithmetic number, because the mean of its divisors is an integer number (487892678).

Almost surely, 2^4005008379 is an apocalyptic number.

4005008379 is a deficient number, since it is larger than the sum of its proper divisors (1849703757).

4005008379 is a wasteful number, since it uses less digits than its factorization.

4005008379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361546 (or 5361543 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4005008379 is about 63285.1355296013. The cubic root of 4005008379 is about 1588.0633011533.

The spelling of 4005008379 in words is "four billion, five million, eight thousand, three hundred seventy-nine".