4004224001 has 2 divisors, whose sum is σ = 4004224002. Its totient is φ = 4004224000.

The previous prime is 4004223947. The next prime is 4004224057. The reversal of 4004224001 is 1004224004.

4004224001 is digitally balanced in base 2 and base 3, because in such bases 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., 2344883776 + 1659340225 = 48424^2 + 40735^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004224001 - 2¹⁰ = 4004222977 is a prime.

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 (4004224061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002112000 + 2002112001.

It is an arithmetic number, because the mean of its divisors is an integer number (2002112001).

Almost surely, 2^4004224001 is an apocalyptic number.

It is an amenable number.

4004224001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004224001 is an equidigital number, since it uses as much as digits as its factorization.

4004224001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4004224001 is about 63278.9380520881. The cubic root of 4004224001 is about 1587.9596207007.

Adding to 4004224001 its reverse (1004224004), we get a palindrome (5008448005).

The spelling of 4004224001 in words is "four billion, four million, two hundred twenty-four thousand, one".