How much after-tax (non-deductible) money can we contribute to IRA/401(k)?

After-tax contribution limit for 401(k) and IRA(s) accounts are quite different. 

For IRA(s), total combined limit for IRA for deductible+non-deductible+Roth IRA(s) is $6000 (7000 for 50+) for 2021. 
For 401(k), the combined limit of pre-tax, after-tax and employer match is $58000 for 2021.

Based on above combined limit, one can decide as what max after-tax amount makes sense to one. 

Wondering as why would one bother to contribute after tax money? It's when one has maxed out before-tax contribution limit and does not qualify to contribute to Roth due to higher income. One can later convert this after-tax money to Roth.

I will point to more details as I read following article in detail from a well-known authority on retirement planning:
https://www.kitces.com/blog/irs-notice-2014-54-acquiesces-on-splitting-after-tax-401k-contributions-for-roth-conversion/

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