409914000853461 has 24 divisors (see below), whose sum is σ = 641417042786520. Its totient is φ = 252254769743808.

The previous prime is 409914000853429. The next prime is 409914000853519. The reversal of 409914000853461 is 164358000419904.

409914000853461 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 1 + 40 + 0 + 0 + 8 + 534 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227494023239025 + 182419977614436 = 15082905^2 + 13506294^2 .

It is not a de Polignac number, because 409914000853461 - 2⁵ = 409914000853429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409914000853398 and 409914000853407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409914000854461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10365478656 + ... + 10365518201.

It is an arithmetic number, because the mean of its divisors is an integer number (26725710116105).

Almost surely, 2^{409914000853461} is an apocalyptic number.

It is an amenable number.

409914000853461 is a deficient number, since it is larger than the sum of its proper divisors (231503041933059).

409914000853461 is a wasteful number, since it uses less digits than its factorization.

409914000853461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20730996902 (or 20730996873 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 409914000853461 in words is "four hundred nine trillion, nine hundred fourteen billion, eight hundred fifty-three thousand, four hundred sixty-one".