Before you walk too far down the wrong path, which may well be the case here, are you certain that you asked the right question of the utility, and that they gave you the information that you actually needed (and not just thought you needed)? AIC stands for "amps interrupting capability." It is a rating of the overcurrent protection equipment, a measure of how much current a breaker can interrupt without the breaker being destroyed in the process. Unless the utility knows something about your main breaker, they won't be able to answer the question of "what is the AIC rating of the service?"
The information needed from the utility is the available short circuit current ("SCCA") at the location of the point of separation between their equipment and the owner's equipment. That will generally be just upstream of the service transformer. If they are supplying the building at 120/208 (i.e., if the utility owns the transformer and the point of service is at the service switchboard), then they should be able to give you the SCCA at the service switchboard. Is that, in fact, the 42,000 amp value that you were given?
Let?s assume the utility meant to say that the available fault current at the service switchboard is 42K. Then the main breaker, the bus bars, and all other breakers in the service panel need to be rated to handle 42K.
Ohm?s law is not going to give you all you need to know, in order to calculate the required rating of the downstream panels and their breakers. If for example there are any large motors, such as elevator motors or large HVAC equipment, then the calculation will need to take into account the amount of current those motors would contribute to a fault. Now I won?t say that you need to be an engineer in order to be able to perform such a calculation. But you would need to be an engineer in order to be able to take legal responsibility for the results of the calculation.