The kind of relational database you're familiar with is probably OLTP (Online Transactional Processing).
I think the OLAP term has been around a long time, some OLAP tasks of the past are probably not so huge today, I wonder if the shrunked-by-time tasks are still called OLAP or if the smaller ones are implemented differently.
OLAP's strength is that the platforms that implement it can precompute aggregations across all of your data and let you quickly answer questions that you might not have known you had.
All these reports can be kept up to date in a live fashion by the OLAP service as new relevant data comes in, much like a materialized view.
Many accounting systems support OLAP based queries in order for the accounting department to design reports and export them to excel.