30502340121344 has 1152 divisors, whose sum is σ = 85723829452800. Its totient is φ = 10490518241280.

The previous prime is 30502340121283. The next prime is 30502340121361. The reversal of 30502340121344 is 44312104320503.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 30502340121344.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25827552434 + ... + 25827553614.

It is an arithmetic number, because the mean of its divisors is an integer number (74413046400).

Almost surely, 2^{30502340121344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30502340121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42861914726400).

30502340121344 is an abundant number, since it is smaller than the sum of its proper divisors (55221489331456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30502340121344 is a wasteful number, since it uses less digits than its factorization.

30502340121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 30502340121344 its reverse (44312104320503), we get a palindrome (74814444441847).

The spelling of 30502340121344 in words is "thirty trillion, five hundred two billion, three hundred forty million, one hundred twenty-one thousand, three hundred forty-four".