34413466431443 has 24 divisors (see below), whose sum is σ = 37937831794800. Its totient is φ = 31192799457600.

The previous prime is 34413466431419. The next prime is 34413466431451.

34413466431443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34413466431443 - 2²⁸ = 34413197995987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34413466431391 and 34413466431400.

It is not an unprimeable number, because it can be changed into a prime (34413466433443) 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, 693417596 + ... + 693467222.

It is an arithmetic number, because the mean of its divisors is an integer number (1580742991450).

Almost surely, 2^{34413466431443} is an apocalyptic number.

34413466431443 is a deficient number, since it is larger than the sum of its proper divisors (3524365363357).

34413466431443 is a wasteful number, since it uses less digits than its factorization.

34413466431443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66419 (or 66408 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 50.

It can be divided in two parts, 3441346 and 6431443, that added together give a palindrome (9872789).

The spelling of 34413466431443 in words is "thirty-four trillion, four hundred thirteen billion, four hundred sixty-six million, four hundred thirty-one thousand, four hundred forty-three".