4004202401 has 2 divisors, whose sum is σ = 4004202402. Its totient is φ = 4004202400.

The previous prime is 4004202373. The next prime is 4004202403. The reversal of 4004202401 is 1042024004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3633678400 + 370524001 = 60280^2 + 19249^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004202401 - 2⁶ = 4004202337 is a prime.

It is a super-3 number, since 3×4004202401³ (a number of 30 digits) contains 333 as substring.

Together with 4004202403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4004202401.

It is not a weakly prime, because it can be changed into another prime (4004202403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002101200 + 2002101201.

It is an arithmetic number, because the mean of its divisors is an integer number (2002101201).

Almost surely, 2^4004202401 is an apocalyptic number.

It is an amenable number.

4004202401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004202401 is an equidigital number, since it uses as much as digits as its factorization.

4004202401 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 4004202401 is about 63278.7673789558. The cubic root of 4004202401 is about 1587.9567653834.

Adding to 4004202401 its reverse (1042024004), we get a palindrome (5046226405).

The spelling of 4004202401 in words is "four billion, four million, two hundred two thousand, four hundred one".