414133120321 has 2 divisors, whose sum is σ = 414133120322. Its totient is φ = 414133120320.

The previous prime is 414133120307. The next prime is 414133120337. The reversal of 414133120321 is 123021331414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 378151203600 + 35981916721 = 614940^2 + 189689^2 .

It is a cyclic number.

It is not a de Polignac number, because 414133120321 - 2⁹ = 414133119809 is a prime.

It is not a weakly prime, because it can be changed into another prime (414133120381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207066560160 + 207066560161.

It is an arithmetic number, because the mean of its divisors is an integer number (207066560161).

Almost surely, 2^414133120321 is an apocalyptic number.

It is an amenable number.

414133120321 is a deficient number, since it is larger than the sum of its proper divisors (1).

414133120321 is an equidigital number, since it uses as much as digits as its factorization.

414133120321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 414133120321 its reverse (123021331414), we get a palindrome (537154451735).

The spelling of 414133120321 in words is "four hundred fourteen billion, one hundred thirty-three million, one hundred twenty thousand, three hundred twenty-one".