4008004107 has 16 divisors (see below), whose sum is σ = 5537134080. Its totient is φ = 2577147872.

The previous prime is 4008004067. The next prime is 4008004129. The reversal of 4008004107 is 7014008004.

It is a cyclic number.

It is not a de Polignac number, because 4008004107 - 2¹⁴ = 4007987723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4008004177) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 204243 + ... + 223004.

It is an arithmetic number, because the mean of its divisors is an integer number (346070880).

Almost surely, 2^4008004107 is an apocalyptic number.

4008004107 is a deficient number, since it is larger than the sum of its proper divisors (1529129973).

4008004107 is a wasteful number, since it uses less digits than its factorization.

4008004107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427362.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4008004107 is about 63308.7996016352. The cubic root of 4008004107 is about 1588.4591571721.

The spelling of 4008004107 in words is "four billion, eight million, four thousand, one hundred seven".