4004004089 has 2 divisors, whose sum is σ = 4004004090. Its totient is φ = 4004004088.

The previous prime is 4004004073. The next prime is 4004004107. The reversal of 4004004089 is 9804004004.

It is a happy number.

4004004089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2653074064 + 1350930025 = 51508^2 + 36755^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004004089 - 2⁴ = 4004004073 is a prime.

It is a super-3 number, since 3×4004004089³ (a number of 30 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4004004019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002002044 + 2002002045.

It is an arithmetic number, because the mean of its divisors is an integer number (2002002045).

Almost surely, 2^4004004089 is an apocalyptic number.

It is an amenable number.

4004004089 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004004089 is an equidigital number, since it uses as much as digits as its factorization.

4004004089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4004004089 is about 63277.2003884496. The cubic root of 4004004089 is about 1587.9305499186.

The spelling of 4004004089 in words is "four billion, four million, four thousand, eighty-nine".