Mr Hunt stepped down from the board of the museum after allegations by the Simon Wiesenthal Centre that some of the art and antiquities collected by his parents, John and Gertrude, were acquired through Nazi art dealers.
The allegations were never proved and Mr Hunt jnr said: "I haven't seen one shred of evidence that makes sense".
The art consultant, who lived at the Bailey, Howth, Co Dublin, died in August 2004. According to his will, which went to probate last week, he left an estate of €4,607,478.
Mr Hunt, a father of three who left everything to his wife Patricia, had items valued at €1.7m on loan to the V&A Museum in London and items on loan to the HSE valued at €300,000. His own collection was valued at €1m plus and he had items on loan to the Hunt Museum valued at €487,000. He also had almost €1m in various accounts.
Other estates which went to probate last week included: Simon Snow, farmer, Cloughran, Co Dublin, €7,467,083; Brendan Mulcahy, businessman, Barton Drive, Dublin, €4,317,730; Kathleen Creedon, civil servant, Killiney, Co Dublin, €3,217,863; John Caffrey, artist, Dromoland, Co Clare, €3,061,578; Sibyl Keane, Mount Merrion, €2,248,578; Ann Magee, Raheny, €2,086,668; Charles Cullen, Walkinstown, €2,049,788.http://www.independent.ie/national-news/son-of-hunt-museum-founder-left-83644m-in-will-1698899.html?service=Print