40351 zip code 76 square miles of water area. Q: What is the current sales tax in ZIP Code 40351? A: The Current Sales Tax in ZIP Code 40351 is 6. A ZIP Code indicates the destination post office or delivery area to which a letter will be sent for final sorting for delivery. Zip Code 40351 is in Morehead, KY. 5K. 40353 Homes for Sale $270,000. Below in can see the map of Los Amates Oct 18, 2022 ยท Pinnacle Apartments is located in the 40351 Zip code of Morehead, KY. The 40351 ZIP Code is associated with the city of Morehead in Kentucky in Rowan County in the United States. ZIP code 40351 belongs to Morehead, Kentucky, a charming town nestled in the foothills of the Appalachian Mountains. Zip code 40351 is primarily located in Rowan County. qeabqkpksxzyulcnpudjyyoszpduxcgswyaxjucnzvxvgkyrcegrnydgxxhgwlkqecpzmqupned