Is it possible to set a parameter at Litespeed to divide automatically the large databases into several packages when they reach a specific size? (4329243)

LiteSpeed does not have this setting.

One option is to consider striped backups.
You can do this trough the console and with the extended procedures.
With the console just click on add as many times as stripes you need(the screenshot is with backups on disk but it also works for TSM backups):

Click To See Full Image.

To do this with extended procedures please see an example below:

exec master.dbo.xp_backup_database
@database = 'Northwind'
, @tsmobject = 'fsMH\nw\stripetest01'
, @tsmobject = 'fsMH\nw\stripetest02'
, @tsmobject = 'fsMH\nw\stripetest03'
, @tsmobject = 'fsMH\nw\stripetest04'
, @tsmclientnode = '10.0.1.200'
, @tsmclientownerpwd = 'password'
, @tsmconfigfile = 'C:\Program Files\Tivoli\TSM\baclient\dsm.opt'
, @init = 1