30140224000000 has 182 divisors, whose sum is σ = 75340557542582. Its totient is φ = 12056064000000.

The previous prime is 30140223999989. The next prime is 30140224000001. The reversal of 30140224000000 is 42204103.

It can be written as a sum of positive squares in 7 ways, for example, as 27971743924224 + 2168480075776 = 5288832^2 + 1472576^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30140224000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 63764530 + ... + 64235470.

Almost surely, 2^{30140224000000} 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 30140224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37670278771291).

30140224000000 is an abundant number, since it is smaller than the sum of its proper divisors (45200333542582).

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

30140224000000 is an frugal number, since it uses more digits than its factorization.

30140224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470995 (or 470948 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 30140224000000 its reverse (42204103), we get a palindrome (30140266204103).

The spelling of 30140224000000 in words is "thirty trillion, one hundred forty billion, two hundred twenty-four million", and thus it is an aban number.