414204102441 has 8 divisors (see below), whose sum is σ = 613635707360. Its totient is φ = 276136068276.

The previous prime is 414204102409. The next prime is 414204102443. The reversal of 414204102441 is 144201402414.

It is a happy number.

414204102441 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 410 + 244 + 1 = 666.

It is not a de Polignac number, because 414204102441 - 2⁵ = 414204102409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 15340892683 = 414204102441 / (4 + 1 + 4 + 2 + 0 + 4 + 1 + 0 + 2 + 4 + 4 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414204102443) 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 in 7 ways as a sum of consecutive naturals, for example, 7670446315 + ... + 7670446368.

It is an arithmetic number, because the mean of its divisors is an integer number (76704463420).

Almost surely, 2^414204102441 is an apocalyptic number.

It is an amenable number.

414204102441 is a deficient number, since it is larger than the sum of its proper divisors (199431604919).

414204102441 is a wasteful number, since it uses less digits than its factorization.

414204102441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340892692 (or 15340892686 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 414204102441 its reverse (144201402414), we get a palindrome (558405504855).

The spelling of 414204102441 in words is "four hundred fourteen billion, two hundred four million, one hundred two thousand, four hundred forty-one".