= 4 + 4 + 444 + 444 + 4444 + 444 + 4464
= 4 + 4 + 444 + 444 + 4444 + 444 + 4464
= 888 + 444 + 4444 + 444 + 4464
= 1332 + 4444 + 444 + 4464
= 5776 + 444 + 4464
= 6220 + 4464
= 10684

Therefore, 4 + 4 + 444 + 444 + 4444 + 444 + 4464 equals 10,684.