FCTRE ambiguity

Hello, this is not discussing anything about the solution of the problem but there is something I can’t understand. Is it the product that we mod and then find the number of divisors or do we apply the mod to the number of divisors( as both " number of factors of his happiness quotient, modulo 1,000,000,0071,000,000,007 (109+7109+7)" and " the number of factors of the happiness quotient modulo 1,000,000,0071,000,000,007 (109+7109+7)" appear in the text and that comma makes a lot of difference)?

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