30944743840000 has 135 divisors (see below), whose sum is σ = 77191605331687. Its totient is φ = 12377007488000.

The previous prime is 30944743839949. The next prime is 30944743840007. The reversal of 30944743840000 is 4834744903.

The square root of 30944743840000 is 5562800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2426067917056 + 28518675922944 = 1557584^2 + 5340288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30944743840007) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 2225113047 + ... + 2225126953.

Almost surely, 2^{30944743840000} is an apocalyptic number.

30944743840000 is the 5562800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30944743840000

30944743840000 is an abundant number, since it is smaller than the sum of its proper divisors (46246861491687).

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

30944743840000 is an frugal number, since it uses more digits than its factorization.

30944743840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27850 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 30944743840000 in words is "thirty trillion, nine hundred forty-four billion, seven hundred forty-three million, eight hundred forty thousand".