Calment set a longevity record when she died on August 4, 1997 at the age of 122 years, 164 days. The second place is held by Kane Tanaka at 119 years, 107 days. when she died on April 19, 2022. The number of super-centenarians is growing at 6.1% per year.
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Arithmetic for a record before 2040: the candidate would have to be at least 109 today (born by mid-1917) and then survive to 122 years and 164 days. Past 105 the annual probability of death flattens at about 50% (Barbi et al., Science 2018), so from 110 the chance of reaching 122.5 is 0.5 to the 12.5th power, roughly 1 in 6,000 per person, and only a few dozen to a hundred validated supercentenarians are alive at any time; the second-oldest person ever, Kane Tanaka, stopped at 119 years and 107 days, and the oldest living person, Ethel Caterham (born 21 August 1909), would need to reach February 2032. Even with the supercentenarian pool growing 6% a year, that puts a YES in the low single digits unless the hazard itself changes, and no intervention has lowered the mortality hazard of any mammal in a controlled trial. The first such tests in a long-lived mammal that lives with us are the dog trials reading out around 2029 to 2031; TRIAD record with sources (mine): https://w0lph.github.io/k9/trials/triad-rapamycin.html
The second place is held by Kane Tanaka at 117 years, 107 days
Kane Tanaka actually died at the age of 119 years, 107 days. This should be corrected.