Design a modular program in Python to process payroll for all hourly paid employees and save all user entered data and processed results to a txt file.

The program should allow user to enter each employee's ID$,$ name, hours worked, and hourly pay rate. And then calculate gross pay with overtime hours $($hours beyond $40)$ paid $50\%$ more. And then the program should display a pay statement for each employee. At the end, the program should display total number of employees, total number of hours worked by all employees, and total gross pay as well.

The program should contain the following functions: main$(),$ getEmployeeInfo$(),$ calcGrossPay$($hours$,$ rate$),$ displayPayStatement$($empID$,$ empName, hoursWorked, hourlyPayRate, grossPay$),$ and savePayStatement$($empID$,$ empName, hoursWorked, hourlyPayRate, grossPay$).$

The get EmployeeInfo$()$ should return employee id$,$ name, hours worked, and hourly pay rate.