414200431321 has 2 divisors, whose sum is σ = 414200431322. Its totient is φ = 414200431320.

The previous prime is 414200431279. The next prime is 414200431327. The reversal of 414200431321 is 123134002414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226161118096 + 188039313225 = 475564^2 + 433635^2 .

It is a cyclic number.

It is not a de Polignac number, because 414200431321 - 2⁷ = 414200431193 is a prime.

It is not a weakly prime, because it can be changed into another prime (414200431327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207100215660 + 207100215661.

It is an arithmetic number, because the mean of its divisors is an integer number (207100215661).

Almost surely, 2^414200431321 is an apocalyptic number.

It is an amenable number.

414200431321 is a deficient number, since it is larger than the sum of its proper divisors (1).

414200431321 is an equidigital number, since it uses as much as digits as its factorization.

414200431321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414200431321 its reverse (123134002414), we get a palindrome (537334433735).

The spelling of 414200431321 in words is "four hundred fourteen billion, two hundred million, four hundred thirty-one thousand, three hundred twenty-one".