414564334341 has 16 divisors (see below), whose sum is σ = 553452438528. Its totient is φ = 276026332400.

The previous prime is 414564334313. The next prime is 414564334351. The reversal of 414564334341 is 143433465414.

It is a cyclic number.

It is not a de Polignac number, because 414564334341 - 2¹¹ = 414564332293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414564334293 and 414564334302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414564334351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25602850 + ... + 25619036.

It is an arithmetic number, because the mean of its divisors is an integer number (34590777408).

Almost surely, 2^414564334341 is an apocalyptic number.

It is an amenable number.

414564334341 is a deficient number, since it is larger than the sum of its proper divisors (138888104187).

414564334341 is a wasteful number, since it uses less digits than its factorization.

414564334341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26472.

The product of its digits is 829440, while the sum is 42.

Adding to 414564334341 its reverse (143433465414), we get a palindrome (557997799755).

The spelling of 414564334341 in words is "four hundred fourteen billion, five hundred sixty-four million, three hundred thirty-four thousand, three hundred forty-one".