402144414401 has 2 divisors, whose sum is σ = 402144414402. Its totient is φ = 402144414400.

The previous prime is 402144414389. The next prime is 402144414403. The reversal of 402144414401 is 104414441204.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254092613776 + 148051800625 = 504076^2 + 384775^2 .

It is a cyclic number.

It is not a de Polignac number, because 402144414401 - 2¹⁴ = 402144398017 is a prime.

Together with 402144414403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (402144414403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201072207200 + 201072207201.

It is an arithmetic number, because the mean of its divisors is an integer number (201072207201).

Almost surely, 2^402144414401 is an apocalyptic number.

It is an amenable number.

402144414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

402144414401 is an equidigital number, since it uses as much as digits as its factorization.

402144414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 402144414401 its reverse (104414441204), we get a palindrome (506558855605).

The spelling of 402144414401 in words is "four hundred two billion, one hundred forty-four million, four hundred fourteen thousand, four hundred one".