What are some common practices for error handling in asynchronous Node.js applications?

In asynchronous Node.js applications, use `try-catch` blocks with `async-await` to handle errors. For callback-based async code, ensure error-first callbacks are properly handled. Use the `catch()` method for promises to catch errors, and consider using a central error handling middleware in Express.js applications for consistent error responses.

Remember to log errors for debugging and monitoring purposes, and avoid suppressing errors silently - instead, ensure they are either handled or logged. For uncaught exceptions, on the other hand, use process-level error handlers like `process.on('uncaughtException', handler)`.