414504202401 has 6 divisors (see below), whose sum is σ = 598728292370. Its totient is φ = 276336134928.

The previous prime is 414504202379. The next prime is 414504202433. The reversal of 414504202401 is 104202405414.

414504202401 is a `hidden beast` number, since 4 + 1 + 4 + 50 + 4 + 202 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 364260531600 + 50243670801 = 603540^2 + 224151^2 .

It is not a de Polignac number, because 414504202401 - 2⁶ = 414504202337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414504202501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23028011236 + ... + 23028011253.

Almost surely, 2^414504202401 is an apocalyptic number.

It is an amenable number.

414504202401 is a deficient number, since it is larger than the sum of its proper divisors (184224089969).

414504202401 is a wasteful number, since it uses less digits than its factorization.

414504202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46056022495 (or 46056022492 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 414504202401 its reverse (104202405414), we get a palindrome (518706607815).

The spelling of 414504202401 in words is "four hundred fourteen billion, five hundred four million, two hundred two thousand, four hundred one".