It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 190 412 399 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 190 412 399, the only two divisors are 1 and 190 412 399. Therefore 190 412 399 is a prime number.
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Since 190412399 is a prime number, 190412399 is also a deficient number, that is to say 190412399 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 190412399 without 190412399 itself (that is 1, by definition!).