My husband knows I had my last born from an affair with someone else

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Dear Harold,
I have been married for 20 years and have four children (three sons and a daughter). During our marriage, I got into a romantic relationship with a married man who fathered my last born son, who is nine years old. My predicament is that my husband knows that the child is not his and has threatened, on several occasions, to leave him out of his inheritance.

However, he treats the child just like the other three he biologically fathered. Does my child have legal rights over the property of my husband? Would I have any legal options should my husband make good his threats and leaves the name of my last born son out of his Will?