405205315104420 has 72 divisors (see below), whose sum is σ = 1229173885899960. Its totient is φ = 108050258672640.

The previous prime is 405205315104397. The next prime is 405205315104463. The reversal of 405205315104420 is 24401513502504.

405205315104420 is a `hidden beast` number, since 4 + 0 + 5 + 205 + 3 + 1 + 5 + 1 + 0 + 442 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69606950514084 + 335598364590336 = 8343078^2 + 18319344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 42448885 + ... + 51110844.

Almost surely, 2^{405205315104420} is an apocalyptic number.

It is an amenable number.

405205315104420 is an abundant number, since it is smaller than the sum of its proper divisors (823968570795540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405205315104420 is a wasteful number, since it uses less digits than its factorization.

405205315104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93583805 (or 93583800 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 405205315104420 its reverse (24401513502504), we get a palindrome (429606828606924).

The spelling of 405205315104420 in words is "four hundred five trillion, two hundred five billion, three hundred fifteen million, one hundred four thousand, four hundred twenty".