414411223014221 has 2 divisors, whose sum is σ = 414411223014222. Its totient is φ = 414411223014220.

The previous prime is 414411223014209. The next prime is 414411223014311. The reversal of 414411223014221 is 122410322114414.

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., 372670901558596 + 41740321455625 = 19304686^2 + 6460675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414411223014221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414411223017221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207205611507110 + 207205611507111.

It is an arithmetic number, because the mean of its divisors is an integer number (207205611507111).

Almost surely, 2^{414411223014221} is an apocalyptic number.

It is an amenable number.

414411223014221 is a deficient number, since it is larger than the sum of its proper divisors (1).

414411223014221 is an equidigital number, since it uses as much as digits as its factorization.

414411223014221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 414411223014221 its reverse (122410322114414), we get a palindrome (536821545128635).

The spelling of 414411223014221 in words is "four hundred fourteen trillion, four hundred eleven billion, two hundred twenty-three million, fourteen thousand, two hundred twenty-one".