It was designed for implementing a desktop calculator, not a general-purpose computer. With some effort it could be repurposed to implement a simple controller, but it was completely unsuitable for implementing the processor of a general-purpose programmable computer.
For implementing a general-purpose processor, it is likely that using MSI TTL integrated circuits would have been simpler than using Intel 4004.
Intel 8008 (which implemented the architecture of Datapoint 2200), was the first commercially-available monolithic processor that could be used to make a general-purpose computer, and which has actually been used for this.
Around the same time with the first monolithic processors, Intel has invented the ultraviolet-erasable programmable read-only memory.
The EPROM invented by Intel has been almost as important as the microprocessors for enabling the appearance of cheap personal computers, by avoiding the need for other kinds of non-volatile memories for storing programs (e.g. punched-tape readers or magnetic core memories), which would have been more expensive than the entire computer.