4032200414401 has 2 divisors, whose sum is σ = 4032200414402. Its totient is φ = 4032200414400.

The previous prime is 4032200414383. The next prime is 4032200414491. The reversal of 4032200414401 is 1044140022304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3881388575376 + 150811839025 = 1970124^2 + 388345^2 .

It is a cyclic number.

It is not a de Polignac number, because 4032200414401 - 2²⁵ = 4032166859969 is a prime.

It is a super-2 number, since 2×4032200414401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4032200414491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2016100207200 + 2016100207201.

It is an arithmetic number, because the mean of its divisors is an integer number (2016100207201).

Almost surely, 2^{4032200414401} is an apocalyptic number.

It is an amenable number.

4032200414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4032200414401 is an equidigital number, since it uses as much as digits as its factorization.

4032200414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4032200414401 its reverse (1044140022304), we get a palindrome (5076340436705).

The spelling of 4032200414401 in words is "four trillion, thirty-two billion, two hundred million, four hundred fourteen thousand, four hundred one".