Various packages let you draw larger-than-normal \sum (and \prod and \int and ...) symbols. Here are the choices offered by the mtpro2 math font package. The red one is produced by \sum in display-style math mode. (Aside: The full mtpro2 package is not free of charge; however, it's lite subset -- which is all that's needed to create the following screenshot -- is indeed free. It can be downloaded from this site.

That said, it would be extremely unusual, to put it mildly, to ever require anything larger than \xl\sum. Speaking for myself, the symbols drawn by \XL\sum, \XXL\sum, and \XXXL\sum are beyond any conceivable (but still legitimate) typographic need.
\documentclass{article}
\usepackage{xcolor}
\usepackage[lite]{mtpro2}
\begin{document}
$\vcenter{\hbox{$\Sigma$}} % just for reference
\sum % appearance in text-style (inline) math mode
\displaystyle \textcolor{red}{\sum} % appearance in display-style math mode
\xl\sum
\XL\sum \XXL\sum \XXXL\sum$
\end{document}
\[ \displaystyle\sum_{k=n+1}^{\infty} \frac{1}{k!} \]. – Levy Feb 01 '19 at 15:59$$...$$for equations. https://tex.stackexchange.com/q/503 – samcarter_is_at_topanswers.xyz Feb 01 '19 at 16:00\[ \]already display style? – Teepeemm Feb 01 '19 at 16:09