4004884001 has 2 divisors, whose sum is σ = 4004884002. Its totient is φ = 4004884000.

The previous prime is 4004883937. The next prime is 4004884003. The reversal of 4004884001 is 1004884004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3188296225 + 816587776 = 56465^2 + 28576^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004884001 - 2⁶ = 4004883937 is a prime.

It is a super-2 number, since 2×4004884001² = 32078191722931536002, which contains 22 as substring.

Together with 4004884003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4004884003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002442000 + 2002442001.

It is an arithmetic number, because the mean of its divisors is an integer number (2002442001).

Almost surely, 2^4004884001 is an apocalyptic number.

It is an amenable number.

4004884001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004884001 is an equidigital number, since it uses as much as digits as its factorization.

4004884001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 4004884001 is about 63284.1528425561. The cubic root of 4004884001 is about 1588.0468615554.

The spelling of 4004884001 in words is "four billion, four million, eight hundred eighty-four thousand, one".