34431444413443 has 16 divisors (see below), whose sum is σ = 42944356281600. Its totient is φ = 26819171215200.

The previous prime is 34431444413393. The next prime is 34431444413479.

34431444413443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34431444413443 - 2²¹ = 34431442316291 is a prime.

It is a super-2 number, since 2×34431444413443² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34431444413393 and 34431444413402.

It is not an unprimeable number, because it can be changed into a prime (34431444413543) 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, 87516873 + ... + 87909418.

It is an arithmetic number, because the mean of its divisors is an integer number (2684022267600).

Almost surely, 2^{34431444413443} is an apocalyptic number.

34431444413443 is a deficient number, since it is larger than the sum of its proper divisors (8512911868157).

34431444413443 is a wasteful number, since it uses less digits than its factorization.

34431444413443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175428858.

The product of its digits is 5308416, while the sum is 46.

It can be divided in two parts, 3443144 and 4413443, that added together give a palindrome (7856587).

The spelling of 34431444413443 in words is "thirty-four trillion, four hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, four hundred forty-three".