[Python] How to compute the sum of the factorials of the digits of n?

I approached this problem as shown below, yet the answer comes ridiculously large! How do I fix this?

n = int(input())
s = 0
ld = 0
f = 1

while n != 0:
ld = n % 10
for i in range(1, ld + 1):
f = f * i
s = s + f
n = n // 10

print(s)

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