30006742021280 has 192 divisors, whose sum is σ = 75438057784320. Its totient is φ = 11240048001024.

The previous prime is 30006742021279. The next prime is 30006742021283. The reversal of 30006742021280 is 8212024760003.

It is a Cunningham number, because it is equal to 5477841²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 30006742021280.

It is not an unprimeable number, because it can be changed into a prime (30006742021283) 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 31 ways as a sum of consecutive naturals, for example, 438193124 + ... + 438261596.

It is an arithmetic number, because the mean of its divisors is an integer number (392906550960).

Almost surely, 2^{30006742021280} 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 30006742021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37719028892160).

30006742021280 is an abundant number, since it is smaller than the sum of its proper divisors (45431315763040).

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

30006742021280 is a wasteful number, since it uses less digits than its factorization.

30006742021280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69311 (or 69303 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 30006742021280 its reverse (8212024760003), we get a palindrome (38218766781283).

The spelling of 30006742021280 in words is "thirty trillion, six billion, seven hundred forty-two million, twenty-one thousand, two hundred eighty".