import re

def is_valid_variable_name(name: str) -> bool:
    # Check if the length of the name exceeds 255 characters
    if len(name) > 255:
        return False
    
    # Regular expression for valid JavaScript variable names
    pattern = r'^[a-zA-Z_$][a-zA-Z0-9_$]*$'
    
    # Check if the name matches the pattern
    return bool(re.match(pattern, name))