noun (n)

• the property possessed by something or someone of outstanding importance or eminence(noun.attribute)

  Synonym:
  illustriousness
  

  source: wordnet30
• unusual largeness in size or extent or number(noun.attribute)

  Synonym:
  enormousness, grandness, immenseness, immensity, sizeableness, vastness, wideness
  

  source: wordnet30
• The state, condition, or quality of being great; as, greatness of size, greatness of mind, power, etc.(noun)

  source: webster1913