30330480000 has 320 divisors, whose sum is σ = 103050763200. Its totient is φ = 7897344000.

The previous prime is 30330479981. The next prime is 30330480001. The reversal of 30330480000 is 8403303.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30330480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10318531 + ... + 10321469.

It is an arithmetic number, because the mean of its divisors is an integer number (322033635).

Almost surely, 2^30330480000 is an apocalyptic number.

30330480000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30330480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51525381600).

30330480000 is an abundant number, since it is smaller than the sum of its proper divisors (72720283200).

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

30330480000 is an equidigital number, since it uses as much as digits as its factorization.

30330480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30330480000 its reverse (8403303), we get a palindrome (30338883303).

The spelling of 30330480000 in words is "thirty billion, three hundred thirty million, four hundred eighty thousand".