Math Is Fun Forum

Just before Jonathan and Jim step out for a space walk, Jean-Luc decides to give them a challenge:
"I'm thinking of a prime number less than 10000. The product of its digits is zero and its first digit is equal to the sum of the other digits."
Jonathan replies that this is insufficient information to work out the number.
Jean-Luc then adds " Reversing the digit gives you a number which is divisible exactly by three prime factors, two of which are 19 and 29."
Jim states that this is now enough information.
What number is Jean-Luc thinking of?

(Ive been working on this question all day and came on this website when my mam suggested that i should look for help on the internet, I think that the answer must have a 0 in it somewhere as the product of the digits has to be zero but thats as far as i know? )

Four astronaut brothers, Neil, John, Buzz and Eugene, all do tours of duty on a space station. Neil returns to earth every 9 weeks; John returns every 10 weeks; Buzz returns every 11 weeks and Eugene returns every 12 weeks. Each visit home is on a Friday for one day, and is included in the number of weeks above. They are all home for there mother's 50th Birthday Party. How old will she be when she next has all four sons home together?

The question is "Toy space men of different shapes are each formed from five 1cm cubes with adjacent cubes firmly welded together face-to-face. To qualify for space flight each space man has to be able to fit into a 3cm x 3cm x 3cm escape pod . How many such space men are there, each distinct from the other?  I don't understand it?