2405952042417 has 144 divisors (see below), whose sum is σ = 4541987946496. Its totient is φ = 1199988820800.

The previous prime is 2405952042413. The next prime is 2405952042419. The reversal of 2405952042417 is 7142402595042.

2405952042417 is a `hidden beast` number, since 2 + 4 + 0 + 595 + 2 + 0 + 42 + 4 + 17 = 666.

2405952042417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2405952042417 - 2² = 2405952042413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2405952042413) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29971668 + ... + 30051834.

Almost surely, 2^{2405952042417} is an apocalyptic number.

It is an amenable number.

2405952042417 is a deficient number, since it is larger than the sum of its proper divisors (2136035904079).

2405952042417 is a wasteful number, since it uses less digits than its factorization.

2405952042417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80360 (or 80346 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2405952042417 in words is "two trillion, four hundred five billion, nine hundred fifty-two million, forty-two thousand, four hundred seventeen".