413334942309 has 32 divisors (see below), whose sum is σ = 629093210240. Its totient is φ = 268025936256.

The previous prime is 413334942259. The next prime is 413334942389. The reversal of 413334942309 is 903249433314.

413334942309 is a `hidden beast` number, since 4 + 1 + 3 + 334 + 9 + 4 + 2 + 309 = 666.

It is not a de Polignac number, because 413334942309 - 2¹⁵ = 413334909541 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413334942389) 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 31 ways as a sum of consecutive naturals, for example, 3241137 + ... + 3366249.

It is an arithmetic number, because the mean of its divisors is an integer number (19659162820).

Almost surely, 2^413334942309 is an apocalyptic number.

It is an amenable number.

413334942309 is a deficient number, since it is larger than the sum of its proper divisors (215758267931).

413334942309 is a wasteful number, since it uses less digits than its factorization.

413334942309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128466 (or 128460 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 413334942309 in words is "four hundred thirteen billion, three hundred thirty-four million, nine hundred forty-two thousand, three hundred nine".