30125344014000 has 640 divisors, whose sum is σ = 112452575788800. Its totient is φ = 7699739443200.

The previous prime is 30125344013959. The next prime is 30125344014011. The reversal of 30125344014000 is 41044352103.

It is a happy number.

30125344014000 is a `hidden beast` number, since 3 + 0 + 1 + 253 + 4 + 4 + 0 + 1 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214471792 + ... + 214612208.

It is an arithmetic number, because the mean of its divisors is an integer number (175707149670).

Almost surely, 2^{30125344014000} is an apocalyptic number.

30125344014000 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 30125344014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56226287894400).

30125344014000 is an abundant number, since it is smaller than the sum of its proper divisors (82327231774800).

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

30125344014000 is a wasteful number, since it uses less digits than its factorization.

30125344014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140615 (or 140593 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 30125344014000 its reverse (41044352103), we get a palindrome (30166388366103).

The spelling of 30125344014000 in words is "thirty trillion, one hundred twenty-five billion, three hundred forty-four million, fourteen thousand".