30040967844000 has 288 divisors, whose sum is σ = 107211034607040. Its totient is φ = 7966169280000.

The previous prime is 30040967843989. The next prime is 30040967844007. The reversal of 30040967844000 is 44876904003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30040967844007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4113075 + ... + 8774925.

It is an arithmetic number, because the mean of its divisors is an integer number (372260536830).

Almost surely, 2^{30040967844000} is an apocalyptic number.

30040967844000 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 30040967844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53605517303520).

30040967844000 is an abundant number, since it is smaller than the sum of its proper divisors (77170066763040).

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

30040967844000 is a wasteful number, since it uses less digits than its factorization.

30040967844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662061 (or 4662040 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 30040967844000 in words is "thirty trillion, forty billion, nine hundred sixty-seven million, eight hundred forty-four thousand".