4004004440459 has 2 divisors, whose sum is σ = 4004004440460. Its totient is φ = 4004004440458.

The previous prime is 4004004440411. The next prime is 4004004440479. The reversal of 4004004440459 is 9540444004004.

4004004440459 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4004004440459 is a prime.

It is a super-2 number, since 2×4004004440459² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4004004440479) 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 as a sum of consecutive naturals, namely, 2002002220229 + 2002002220230.

It is an arithmetic number, because the mean of its divisors is an integer number (2002002220230).

Almost surely, 2^{4004004440459} is an apocalyptic number.

4004004440459 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004004440459 is an equidigital number, since it uses as much as digits as its factorization.

4004004440459 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 4004004440459 in words is "four trillion, four billion, four million, four hundred forty thousand, four hundred fifty-nine".