If you can't ping your WAN IP address from a host on the LAN side, that's unusual and warrants troubleshooting.
If you can't ping your WAN IP address from a host outisde your WAN interface (e.g. somewhere on the Internet), this is perfectly normal and to be expected.
In addition, your WAN IP address is, as noted above by @psherman, an RFC 1918 address and thus is unreachable from the Internet without some sort of NAT intermediary (in your case, your 4G/LTE modem).
I understand now that my WAN IP Address is an RFC1918 address and thus not pingable from the internet. But the internal modem has a public address that should be pingable from the internet. Is there a way to get this working? I have successfully setup DynamicDNS and port forwarding and i can reach my services from the internet with it. Now i just want to get this ping thing to work. I want to ping my dyndnshostname and get an answer, is this possible?
Depends on the feature set of the device which holds the public IP address. You might find there is a user-configurable option to allow the modem to respond to ICMP Echo ("ping") on its own WAN interface. Equally, there might not be. The user manual for the modem may contain some advice in this regard.