405107104311 has 48 divisors (see below), whose sum is σ = 720418963264. Its totient is φ = 213615055872.

The previous prime is 405107104301. The next prime is 405107104357. The reversal of 405107104311 is 113401701504.

405107104311 is a `hidden beast` number, since 40 + 510 + 7 + 104 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 405107104311 - 2¹⁰ = 405107103287 is a prime.

It is a super-2 number, since 2×405107104311² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405107104301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2557845 + ... + 2711601.

Almost surely, 2^405107104311 is an apocalyptic number.

405107104311 is a deficient number, since it is larger than the sum of its proper divisors (315311858953).

405107104311 is a wasteful number, since it uses less digits than its factorization.

405107104311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157000 (or 156997 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 405107104311 its reverse (113401701504), we get a palindrome (518508805815).

The spelling of 405107104311 in words is "four hundred five billion, one hundred seven million, one hundred four thousand, three hundred eleven".