The first known prime found to exceed one million digits was discovered in 1999, and is a Mersenne prime of the form $2^{6972593} - 1$; it contains exactly $2\,098\,960$ digits. Subsequently other Mersenne primes, of the form $2^p - 1$, have been found which contain more digits.
However, in 2004 there was found a massive non-Mersenne prime which contains $2\,357\,207$ digits: $28433 \times 2^{7830457} + 1$.
Find the last ten digits of this prime number.
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