Kazakhstan is about 12,165 times bigger than American Samoa.

American Samoa is approximately 224 sq km, while Kazakhstan is approximately 2,724,900 sq km, making Kazakhstan 1,216,373% larger than American Samoa. Meanwhile, the population of American Samoa is ~45,443 people (19.4 million more people live in Kazakhstan).
Tip: This to-scale comparison of American Samoa vs. Kazakhstan uses the Mercator projection, which distorts the size of regions near the poles.