import re

def is_valid_variable_name(name: str) -> bool:
    # Check the length of the variable name
    if len(name) == 0 or len(name) > 255:
        return False
    
    # Define the regex pattern for a valid JavaScript variable name
    pattern = r'^[a-zA-Z_$][a-zA-Z0-9_$]*$'
    
    # Use re.match to check if the entire string matches the pattern
    if re.match(pattern, name):
        return True
    
    return False