Decimal coded Letter

This multiplication of two number is written by letter. Every letter denotes distinct single non zero digit.

N U M I A S × I D E H E M = S I H M S I U M I M S M \LARGE \overline{NUMIAS}\times\overline{IDEHEM}=\overline{SIHMSIUMIMSM}

What's the number is hidden in

S M A E I H M E U D N I \LARGE \overline{SMAEIHMEUDNI}


The answer is 641578453297.

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