Parmesan has a low water content and a granular texture, which means it can be preserved for a long time, improving with age. Even once a huge wheel is cracked open, it will store well. To maintain the full qualities of Parmigiano Reggiano, to give it its proper name, store it in an airtight glass or plastic container in the fridge (if you need to freeze it, grate it first to preserve the texture).
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