In more detail
The 25 times figure comes from a 4% withdrawal rate, a rule of thumb rather than a guarantee. $40,000 of yearly spending needs $1,000,000. A "coast" number is the amount that grows to the target with no more saving.
Glossary
Finance
FIRE (financial independence, retire early)
FIRE is a savings approach that aims to build a portfolio large enough to live off its returns, typically 25 times yearly spending, long before the usual retirement age.
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See also
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Glossary
Inflation
Inflation is the general rise in prices over time, which reduces what each unit of money can buy.
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Guide
How Retirement Savings Work
Regular saving, employer match, fees and inflation, traditional versus Roth, the 25x rule and 4% withdrawal test, annuities.