4 Channel NOT and AND Gate Symbols
You shouldn't do that.

An AND gate with 4 inputs is a standard symbol. But it only has one output, which is high only if all 4 inputs are high. If you draw a 4-input AND gate and intend it have some other function, you're just going to confuse people.

With your AND gate with 4 outputs, how am I to know which inputs must be high for each output to be high?

And if you want to unclutter a drawing by removing NOT gates, you can do it by using bubble notations on the inputs of whatever those NOT gates drive, not by inventing a new 4-channel NOT-gate symbol.