The sum of the numbers is:

$16432 + 22871 + 24569 + 18129 = 81901$

Would you like a step-by-step breakdown or have any questions about this calculation?

Here are some related questions to expand this:

1. What strategies can be used to add large numbers more efficiently?
2. How can we verify the accuracy of an addition result?
3. What is the average of the numbers in this addition?
4. How would this calculation be different if we used a calculator?
5. How can we apply addition like this in real-life contexts (e.g., budgeting)?

Tip: Double-check large calculations by adding the numbers in reverse order