34405444413 has 36 divisors (see below), whose sum is σ = 51656865468. Its totient is φ = 22914161280.

The previous prime is 34405444399. The next prime is 34405444417. The reversal of 34405444413 is 31444450443.

34405444413 is a `hidden beast` number, since 34 + 40 + 544 + 4 + 41 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22747275684 + 11658168729 = 150822^2 + 107973^2 .

It is not a de Polignac number, because 34405444413 - 2⁶ = 34405444349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34405444417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8927595 + ... + 8931447.

Almost surely, 2^34405444413 is an apocalyptic number.

It is an amenable number.

34405444413 is a deficient number, since it is larger than the sum of its proper divisors (17251421055).

34405444413 is an frugal number, since it uses more digits than its factorization.

34405444413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 34405444413 its reverse (31444450443), we get a palindrome (65849894856).

The spelling of 34405444413 in words is "thirty-four billion, four hundred five million, four hundred forty-four thousand, four hundred thirteen".