30042434041120 has 144 divisors (see below), whose sum is σ = 74222259733440. Its totient is φ = 11489212024320.

The previous prime is 30042434041031. The next prime is 30042434041121. The reversal of 30042434041120 is 2114043424003.

It is not an unprimeable number, because it can be changed into a prime (30042434041121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11585061 + ... + 13939099.

It is an arithmetic number, because the mean of its divisors is an integer number (515432359260).

Almost surely, 2^{30042434041120} 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 30042434041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37111129866720).

30042434041120 is an abundant number, since it is smaller than the sum of its proper divisors (44179825692320).

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

30042434041120 is a wasteful number, since it uses less digits than its factorization.

30042434041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354199 (or 2354160 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 30042434041120 its reverse (2114043424003), we get a palindrome (32156477465123).

The spelling of 30042434041120 in words is "thirty trillion, forty-two billion, four hundred thirty-four million, forty-one thousand, one hundred twenty".