30968442000 has 960 divisors, whose sum is σ = 123603517440. Its totient is φ = 7185024000.

The previous prime is 30968441983. The next prime is 30968442049. The reversal of 30968442000 is 24486903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243845937 + ... + 243846063.

It is an arithmetic number, because the mean of its divisors is an integer number (128753664).

Almost surely, 2^30968442000 is an apocalyptic number.

30968442000 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 30968442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61801758720).

30968442000 is an abundant number, since it is smaller than the sum of its proper divisors (92635075440).

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

30968442000 is a wasteful number, since it uses less digits than its factorization.

30968442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30968442000 in words is "thirty billion, nine hundred sixty-eight million, four hundred forty-two thousand".