414000561413 has 2 divisors, whose sum is σ = 414000561414. Its totient is φ = 414000561412.

The previous prime is 414000561409. The next prime is 414000561439. The reversal of 414000561413 is 314165000414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339974123329 + 74026438084 = 583073^2 + 272078^2 .

It is a cyclic number.

It is not a de Polignac number, because 414000561413 - 2² = 414000561409 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414000561113) 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, 207000280706 + 207000280707.

It is an arithmetic number, because the mean of its divisors is an integer number (207000280707).

Almost surely, 2^414000561413 is an apocalyptic number.

It is an amenable number.

414000561413 is a deficient number, since it is larger than the sum of its proper divisors (1).

414000561413 is an equidigital number, since it uses as much as digits as its factorization.

414000561413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 414000561413 its reverse (314165000414), we get a palindrome (728165561827).

The spelling of 414000561413 in words is "four hundred fourteen billion, five hundred sixty-one thousand, four hundred thirteen".