Combine 4 cups of milk, rice, sugar, butter, and salt in a large saucepan. Let the mixture simmer over low heat for about 30 minutes, stirring frequently to prevent the rice from burning.
Remove from heat and stir in the raisins, vanilla and whisked eggs.
Pour the rice pudding into a ceramic baking pan. Drizzle the condensed milk all over the top. Bake at 350°F for 30-40 minutes.