30144280320000 has 2880 divisors, whose sum is σ = 143688504960000. Its totient is φ = 5892341760000.

The previous prime is 30144280319941. The next prime is 30144280320041. The reversal of 30144280320000 is 2308244103.

30144280320000 is a `hidden beast` number, since 30 + 1 + 4 + 428 + 0 + 3 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 15079679001 + ... + 15079680999.

It is an arithmetic number, because the mean of its divisors is an integer number (49891842000).

Almost surely, 2^{30144280320000} is an apocalyptic number.

30144280320000 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 30144280320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71844252480000).

30144280320000 is an abundant number, since it is smaller than the sum of its proper divisors (113544224640000).

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

30144280320000 is a wasteful number, since it uses less digits than its factorization.

30144280320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 30144280320000 its reverse (2308244103), we get a palindrome (30146588564103).

The spelling of 30144280320000 in words is "thirty trillion, one hundred forty-four billion, two hundred eighty million, three hundred twenty thousand".