4009042667 has 16 divisors (see below), whose sum is σ = 4755738624. Its totient is φ = 3307068000.

The previous prime is 4009042651. The next prime is 4009042717. The reversal of 4009042667 is 7662409004.

It is a cyclic number.

It is not a de Polignac number, because 4009042667 - 2⁴ = 4009042651 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4009042667.

It is not an unprimeable number, because it can be changed into a prime (4009042067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11759 + ... + 90312.

It is an arithmetic number, because the mean of its divisors is an integer number (297233664).

Almost surely, 2^4009042667 is an apocalyptic number.

4009042667 is a deficient number, since it is larger than the sum of its proper divisors (746695957).

4009042667 is a wasteful number, since it uses less digits than its factorization.

4009042667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102290.

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 4009042667 is about 63317.0014056256. The cubic root of 4009042667 is about 1588.5963466249.

The spelling of 4009042667 in words is "four billion, nine million, forty-two thousand, six hundred sixty-seven".