Your end goal is world domination. A household name spanning continents, recognised by all. But how can you enforce this?
There is no ‘worldwide trade mark’ as such. Instead you would need to file applications to cover each territory individually. In some cases, it is possible to obtain protection for several countries at once e.g. a European Union Trade Mark application, covering all of the countries in European Union.
The Madrid Protocol System, operated by WIPO, is an international filing system which can be a cost effective way of obtaining trade mark coverage in multiple territories at once. For more information see the WIPO website.
It is best to obtain professional advice as the most effective strategy to employ, not only in terms of cost but also administrative efficiency and enforcement.