14404001414401 has 2 divisors, whose sum is σ = 14404001414402. Its totient is φ = 14404001414400.

The previous prime is 14404001414371. The next prime is 14404001414441. The reversal of 14404001414401 is 10441410040441.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10634284050625 + 3769717363776 = 3261025^2 + 1941576^2 .

It is a cyclic number.

It is not a de Polignac number, because 14404001414401 - 2⁷ = 14404001414273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14404001414401.

It is not a weakly prime, because it can be changed into another prime (14404001414441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7202000707200 + 7202000707201.

It is an arithmetic number, because the mean of its divisors is an integer number (7202000707201).

Almost surely, 2^{14404001414401} is an apocalyptic number.

It is an amenable number.

14404001414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

14404001414401 is an equidigital number, since it uses as much as digits as its factorization.

14404001414401 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 28.

Adding to 14404001414401 its reverse (10441410040441), we get a palindrome (24845411454842).

The spelling of 14404001414401 in words is "fourteen trillion, four hundred four billion, one million, four hundred fourteen thousand, four hundred one".