30444744000000 has 560 divisors, whose sum is σ = 110599589932128. Its totient is φ = 7380480000000.

The previous prime is 30444743999981. The next prime is 30444744000001. The reversal of 30444744000000 is 44744403.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (30444744000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 263942340 + ... + 264057660.

Almost surely, 2^{30444744000000} is an apocalyptic number.

30444744000000 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 30444744000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55299794966064).

30444744000000 is an abundant number, since it is smaller than the sum of its proper divisors (80154845932128).

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

30444744000000 is an frugal number, since it uses more digits than its factorization.

30444744000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115383 (or 115342 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

Adding to 30444744000000 its reverse (44744403), we get a palindrome (30444788744403).

The spelling of 30444744000000 in words is "thirty trillion, four hundred forty-four billion, seven hundred forty-four million", and thus it is an aban number.