4004004440011 has 2 divisors, whose sum is σ = 4004004440012. Its totient is φ = 4004004440010.

The previous prime is 4004004439993. The next prime is 4004004440021. The reversal of 4004004440011 is 1100444004004.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4004004440011 - 2⁵ = 4004004439979 is a prime.

It is not a weakly prime, because it can be changed into another prime (4004004440021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002002220005 + 2002002220006.

It is an arithmetic number, because the mean of its divisors is an integer number (2002002220006).

Almost surely, 2^{4004004440011} is an apocalyptic number.

4004004440011 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004004440011 is an equidigital number, since it uses as much as digits as its factorization.

4004004440011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 4004004440011 its reverse (1100444004004), we get a palindrome (5104448444015).

The spelling of 4004004440011 in words is "four trillion, four billion, four million, four hundred forty thousand, eleven".