The Kato-Nakayama space as a transcendental root stack

We give a functorial description of the Kato-Nakayama space of a fine saturated log analytic space that is similar in spirit to the functorial description of root stacks. As a consequence we get a global description of the comparison map constructed by Carchedi, Scherotzke, Sibilla and Talpo from the Kato-Nakayama space to the (topological) infinite root stack.