409323705993 has 16 divisors (see below), whose sum is σ = 638321569600. Its totient is φ = 258520235040.

The previous prime is 409323705983. The next prime is 409323706009. The reversal of 409323705993 is 399507323904.

409323705993 is a `hidden beast` number, since 40 + 9 + 3 + 2 + 3 + 7 + 0 + 599 + 3 = 666.

It is not a de Polignac number, because 409323705993 - 2¹⁷ = 409323574921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409323705983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398950468 + ... + 398951493.

It is an arithmetic number, because the mean of its divisors is an integer number (39895098100).

Almost surely, 2^409323705993 is an apocalyptic number.

It is an amenable number.

409323705993 is a deficient number, since it is larger than the sum of its proper divisors (228997863607).

409323705993 is a wasteful number, since it uses less digits than its factorization.

409323705993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797901989 (or 797901983 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 409323705993 in words is "four hundred nine billion, three hundred twenty-three million, seven hundred five thousand, nine hundred ninety-three".