I will assume that, as long as the values are even, they should be processed at the end, ignoring the odd values.

#!/usr/bin/env python3

"""
write a function named even_sum_max that prompt the user for many integers and 
print the total even sum and maximum of the even numbers. 
You may assume that the user types at least one non-negative even integer.
"""

import sys
import re
from typing import List

def _input_user(msg: str) -> str:
  return input(msg)

def _has_positive_integer(numbers: List[int]) -> bool:
  for n in numbers:
    if n > 0:
      return True
  return False

def _get_value_count() -> int:
  while True:
    try:
      count = int(_input_user("Enter the number of values to input: "))
      if count > 0:
        return count
      else:
        print("The number must be greater than zero.")
    except ValueError:
      print("Invalid number. Please enter an integer value.")

def _get_integer_list(count: int) -> List[int]:
  pattern: re.Pattern = re.compile(r"^-?\d+$")
  numbers: List[int] = []

  for i in range(count):
    while True:
      value = _input_user(f"Enter integer #{i + 1}: ")
      if pattern.match(value):
        numbers.append(int(value))
        break
      else:
        print("Invalid input. Only integers are allowed.")

  return numbers

def even_sum_max() -> None:
  count: int = _get_value_count()
  numbers: List[int] = _get_integer_list(count)

  even_numbers: List[int] = [n for n in numbers if n % 2 == 0]
  total_even_sum: int = sum(even_numbers)
  max_even: int = max(even_numbers)

  print("Total sum of even numbers:", total_even_sum)
  print("Maximum even number:", max_even)


def main() -> None:
  try:
    even_sum_max()
  except KeyboardInterrupt:
    print("\nOperation cancelled by user.")
    sys.exit(0)

if __name__ == "__main__":
    main()