414076106307361 has 2 divisors, whose sum is σ = 414076106307362. Its totient is φ = 414076106307360.

The previous prime is 414076106307359. The next prime is 414076106307419. The reversal of 414076106307361 is 163703601670414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 402153891750625 + 11922214556736 = 20053775^2 + 3452856^2 .

It is a cyclic number.

It is not a de Polignac number, because 414076106307361 - 2¹ = 414076106307359 is a prime.

Together with 414076106307359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414076106307301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207038053153680 + 207038053153681.

It is an arithmetic number, because the mean of its divisors is an integer number (207038053153681).

Almost surely, 2^{414076106307361} is an apocalyptic number.

It is an amenable number.

414076106307361 is a deficient number, since it is larger than the sum of its proper divisors (1).

414076106307361 is an equidigital number, since it uses as much as digits as its factorization.

414076106307361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 49.

Adding to 414076106307361 its reverse (163703601670414), we get a palindrome (577779707977775).

The spelling of 414076106307361 in words is "four hundred fourteen trillion, seventy-six billion, one hundred six million, three hundred seven thousand, three hundred sixty-one".