4002400201 has 2 divisors, whose sum is σ = 4002400202. Its totient is φ = 4002400200.

The previous prime is 4002400133. The next prime is 4002400211. The reversal of 4002400201 is 1020042004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3519455625 + 482944576 = 59325^2 + 21976^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002400201 - 2¹⁵ = 4002367433 is a prime.

It is not a weakly prime, because it can be changed into another prime (4002400211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001200100 + 2001200101.

It is an arithmetic number, because the mean of its divisors is an integer number (2001200101).

Almost surely, 2^4002400201 is an apocalyptic number.

It is an amenable number.

4002400201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002400201 is an equidigital number, since it uses as much as digits as its factorization.

4002400201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4002400201 is about 63264.5256127002. The cubic root of 4002400201 is about 1587.7184952820.

Adding to 4002400201 its reverse (1020042004), we get a palindrome (5022442205).

The spelling of 4002400201 in words is "four billion, two million, four hundred thousand, two hundred one".