30042469441152 has 512 divisors, whose sum is σ = 103576267200000. Its totient is φ = 8569077350400.

The previous prime is 30042469441139. The next prime is 30042469441157. The reversal of 30042469441152 is 25114496424003.

30042469441152 is a `hidden beast` number, since 30 + 0 + 4 + 2 + 469 + 4 + 4 + 1 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30042469441098 and 30042469441107.

It is not an unprimeable number, because it can be changed into a prime (30042469441157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712409124 + ... + 712451292.

It is an arithmetic number, because the mean of its divisors is an integer number (202297396875).

Almost surely, 2^{30042469441152} is an apocalyptic number.

30042469441152 is a gapful number since it is divisible by the number (32) 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 30042469441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51788133600000).

30042469441152 is an abundant number, since it is smaller than the sum of its proper divisors (73533797758848).

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

30042469441152 is an equidigital number, since it uses as much as digits as its factorization.

30042469441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42814 (or 42782 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30042469441152 in words is "thirty trillion, forty-two billion, four hundred sixty-nine million, four hundred forty-one thousand, one hundred fifty-two".