330240204101000 has 128 divisors (see below), whose sum is σ = 774834780994560. Its totient is φ = 131741995104000.

The previous prime is 330240204100987. The next prime is 330240204101063. The reversal of 330240204101000 is 101402042033.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 1205370029 + ... + 1205643971.

It is an arithmetic number, because the mean of its divisors is an integer number (6053396726520).

Almost surely, 2^{330240204101000} 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 330240204101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387417390497280).

330240204101000 is an abundant number, since it is smaller than the sum of its proper divisors (444594576893560).

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

330240204101000 is a wasteful number, since it uses less digits than its factorization.

330240204101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277192 (or 277178 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 330240204101000 its reverse (101402042033), we get a palindrome (330341606143033).

The spelling of 330240204101000 in words is "three hundred thirty trillion, two hundred forty billion, two hundred four million, one hundred one thousand".