214405141410401 has 2 divisors, whose sum is σ = 214405141410402. Its totient is φ = 214405141410400.

The previous prime is 214405141410353. The next prime is 214405141410469. The reversal of 214405141410401 is 104014141504412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214390067464225 + 15073946176 = 14642065^2 + 122776^2 .

It is a cyclic number.

It is not a de Polignac number, because 214405141410401 - 2²² = 214405137216097 is a prime.

It is a super-3 number, since 3×214405141410401³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (214405141410491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107202570705200 + 107202570705201.

It is an arithmetic number, because the mean of its divisors is an integer number (107202570705201).

Almost surely, 2^{214405141410401} is an apocalyptic number.

It is an amenable number.

214405141410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

214405141410401 is an equidigital number, since it uses as much as digits as its factorization.

214405141410401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 214405141410401 its reverse (104014141504412), we get a palindrome (318419282914813).

The spelling of 214405141410401 in words is "two hundred fourteen trillion, four hundred five billion, one hundred forty-one million, four hundred ten thousand, four hundred one".