English much of an N' (henceforth, MOA) construction (e.g., It’s not much of a problem.) consists of quantifiers like much, more/less, enough, little and of-an-NP to intensify the indefinite singular degree NP. In this paper, we first review basic properties of the construction, focusing on the relation between the gradability of the NP and its predicativeness. In particular, after investigating authentic corpus data of the MOA, we provide a qualitative and quantitative analysis which allows a constraint-based approach in accounting for various syntactic as well as semantic properties of the construction.