409788949905 has 64 divisors (see below), whose sum is σ = 753915859200. Its totient is φ = 210939079680.

The previous prime is 409788949903. The next prime is 409788949919. The reversal of 409788949905 is 509949887904.

409788949905 is a `hidden beast` number, since 40 + 97 + 8 + 8 + 9 + 499 + 0 + 5 = 666.

It is not a de Polignac number, because 409788949905 - 2¹ = 409788949903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409788949903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11323690 + ... + 11359820.

It is an arithmetic number, because the mean of its divisors is an integer number (11779935300).

Almost surely, 2^409788949905 is an apocalyptic number.

409788949905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409788949905 is a deficient number, since it is larger than the sum of its proper divisors (344126909295).

409788949905 is a wasteful number, since it uses less digits than its factorization.

409788949905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39071 (or 39065 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 409788949905 in words is "four hundred nine billion, seven hundred eighty-eight million, nine hundred forty-nine thousand, nine hundred five".