LEFT And SUMPRODUCT Functions Combined?

I have two columns of data that I need to use SUMPRODUCT on. However, in one of the columns, there might be text after the number. The text can be several different characters. I only want to use the numbers, never the text. Also, there are usually blank cells within Column B and at the bottoms of both columns because this formula is going into a template for future worksheets that all have differing numbers of rows.

Example:

14T
16

40

20
150

97L
67

13
12

For the above example, I want the result to be 9879 (14*16 + 40*0 + 20*150 + 97*67 + 13*12 + 0*0 + 0*0 = 9879).

I've tried using the LEFT function to only get the numbers before any text, but I can't make it work with the blank cells at the bottoms of the columns.