330034320231440 has 160 divisors (see below), whose sum is σ = 840273631545600. Its totient is φ = 119555701852160.

The previous prime is 330034320231409. The next prime is 330034320231443. The reversal of 330034320231440 is 44132023430033.

It is a junction number, because it is equal to n+sod(n) for n = 330034320231397 and 330034320231406.

It is not an unprimeable number, because it can be changed into a prime (330034320231443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2959654406 + ... + 2959765914.

It is an arithmetic number, because the mean of its divisors is an integer number (5251710197160).

Almost surely, 2^{330034320231440} 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 330034320231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420136815772800).

330034320231440 is an abundant number, since it is smaller than the sum of its proper divisors (510239311314160).

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

330034320231440 is a wasteful number, since it uses less digits than its factorization.

330034320231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124305 (or 124299 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 330034320231440 its reverse (44132023430033), we get a palindrome (374166343661473).

The spelling of 330034320231440 in words is "three hundred thirty trillion, thirty-four billion, three hundred twenty million, two hundred thirty-one thousand, four hundred forty".