409338082341 has 24 divisors (see below), whose sum is σ = 615271044960. Its totient is φ = 262027989216.

The previous prime is 409338082303. The next prime is 409338082357. The reversal of 409338082341 is 143280833904.

409338082341 is a `hidden beast` number, since 409 + 3 + 3 + 8 + 0 + 8 + 234 + 1 = 666.

It is not a de Polignac number, because 409338082341 - 2¹³ = 409338074149 is a prime.

It is a super-3 number, since 3×409338082341³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409338087341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8940906 + ... + 8986571.

It is an arithmetic number, because the mean of its divisors is an integer number (25636293540).

Almost surely, 2^409338082341 is an apocalyptic number.

It is an amenable number.

409338082341 is a deficient number, since it is larger than the sum of its proper divisors (205932962619).

409338082341 is a wasteful number, since it uses less digits than its factorization.

409338082341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17927585 (or 17927582 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 409338082341 in words is "four hundred nine billion, three hundred thirty-eight million, eighty-two thousand, three hundred forty-one".