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Mean Gravitational Potential Energy in Space

Imagine an arbitrary point in space. It is within the gravitational potential of every mass (although billions of ly away) in the entire universe.

Since every mass adds a tiny fraction, what is the total gravitational potential energy in this point?

Edit:

Let point masses be located distance $r_i$ from the point and have masses $m_i$, then the potential is

$$\Phi = - G \sum_{i} \frac{m_i}{r_i}.$$

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