There are actually 278 words that have 4 vowels and 10 consonants! Please note that this is copy and pasted from a website, and all credit gots to them.
Words that have 4 vowels and 10 consonants: photosynthesis, chemosynthesis, accomplishment, chromatography, gerrymandering, abstractedness, staphylococcus, acknowledgment, absentmindedly, electrophysics, thermodynamics, candlelighting, knickerbockers, weightlessness, intermittently, hypothetically, thoughtfulness, farsightedness, disenchantment, systematicness, fatherlessness, flabbergasting, delightfulness, constructivism, astrophysicist, Caryophyllales, achondroplasty, hypothyroidism, Wollstonecraft, antiarrhythmic, insightfulness, philanthropist, fingerspelling, schoolmistress, surprisingness, asymptotically, effortlessness, unskillfulness, erythrocytosis, unchangingness, breathlessness, changelessness, disgustingness, motherlessness, metempsychosis, overstretching, astrochemistry, worthwhileness, strongheadness, and regardlessness. This is only the first page.
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