330144000000 has 672 divisors, whose sum is σ = 1164500719200. Its totient is φ = 82944000000.

The previous prime is 330143999993. The next prime is 330144000001. The reversal of 330144000000 is 441033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (330144000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1823999910 + ... + 1824000090.

It is an arithmetic number, because the mean of its divisors is an integer number (1732887975).

Almost surely, 2^330144000000 is an apocalyptic number.

330144000000 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 330144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582250359600).

330144000000 is an abundant number, since it is smaller than the sum of its proper divisors (834356719200).

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

330144000000 is an frugal number, since it uses more digits than its factorization.

330144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 330144000000 its reverse (441033), we get a palindrome (330144441033).

The spelling of 330144000000 in words is "three hundred thirty billion, one hundred forty-four million", and thus it is an aban number.