Hell0 W0rld! scored by ASCII values
Lenguage, score 0
Well, this is quite boring and obvious, but it seems to achieve the perfect score (assuming I understand the challenge correctly). To fix this loophole, you should probably add the program's length to the sum of the code points; I'm pretty sure that won't break the relative order of the current answers.
The program is
2282524454641945458940768311481012240407465625061984267694778013056442426959468031225640633070772676474431950201473533908

null bytes. Fortunately, 0 multiplied by the number above is still 0.
I believe this decompresses (alternatively, it compresses) to the automatically generated (with the help of a random web page that claims &quot;Original Java program not from me&quot;) brainfuck program:
-[-------&gt;+&lt;]&gt;-.-[-&gt;+++++&lt;]&gt;++.+++++++..[--&gt;+&lt;]&gt;------.[---&gt;++&lt;]&gt;.---[-&gt;+++&lt;]&gt;.+[--&gt;+&lt;]&gt;++++.[-----&gt;+&lt;]&gt;++.------.--------.-[---&gt;+&lt;]&gt;.

It almost certainly could be golfed (but I haven't tried), but that is unnecessary.