34414444441443 has 32 divisors (see below), whose sum is σ = 51500312278272. Its totient is φ = 20257989148800.

The previous prime is 34414444441409. The next prime is 34414444441451.

34414444441443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34414444441443 - 2⁹ = 34414444440931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34414444441392 and 34414444441401.

It is not an unprimeable number, because it can be changed into a prime (34414444441463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23983596 + ... + 25377977.

It is an arithmetic number, because the mean of its divisors is an integer number (1609384758696).

Almost surely, 2^{34414444441443} is an apocalyptic number.

34414444441443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34414444441443 is a deficient number, since it is larger than the sum of its proper divisors (17085867836829).

34414444441443 is a wasteful number, since it uses less digits than its factorization.

34414444441443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49362195.

The product of its digits is 9437184, while the sum is 48.

It can be divided in two parts, 3441444 and 4441443, that added together give a palindrome (7882887).

The spelling of 34414444441443 in words is "thirty-four trillion, four hundred fourteen billion, four hundred forty-four million, four hundred forty-one thousand, four hundred forty-three".