30234144000000 has 672 divisors, whose sum is σ = 105142897903680. Its totient is φ = 7711334400000.

The previous prime is 30234143999993. The next prime is 30234144000013. The reversal of 30234144000000 is 44143203.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2207993154 + ... + 2208006846.

It is an arithmetic number, because the mean of its divisors is an integer number (156462645690).

Almost surely, 2^{30234144000000} is an apocalyptic number.

30234144000000 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 30234144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52571448951840).

30234144000000 is an abundant number, since it is smaller than the sum of its proper divisors (74908753903680).

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

30234144000000 is an frugal number, since it uses more digits than its factorization.

30234144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30234144000000 its reverse (44143203), we get a palindrome (30234188143203).

The spelling of 30234144000000 in words is "thirty trillion, two hundred thirty-four billion, one hundred forty-four million", and thus it is an aban number.