30341115368960 has 320 divisors, whose sum is σ = 80473787919360. Its totient is φ = 10879110021120.

The previous prime is 30341115368939. The next prime is 30341115368983. The reversal of 30341115368960 is 6986351114303.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 30341115368899 and 30341115368908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919773587 + ... + 919806573.

It is an arithmetic number, because the mean of its divisors is an integer number (251480587248).

Almost surely, 2^{30341115368960} 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 30341115368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40236893959680).

30341115368960 is an abundant number, since it is smaller than the sum of its proper divisors (50132672550400).

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

30341115368960 is a wasteful number, since it uses less digits than its factorization.

30341115368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33477 (or 33461 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 30341115368960 in words is "thirty trillion, three hundred forty-one billion, one hundred fifteen million, three hundred sixty-eight thousand, nine hundred sixty".