330034331401340 has 96 divisors (see below), whose sum is σ = 727600514973696. Its totient is φ = 125507416446720.

The previous prime is 330034331401321. The next prime is 330034331401387. The reversal of 330034331401340 is 43104133430033.

It is a junction number, because it is equal to n+sod(n) for n = 330034331401297 and 330034331401306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150695789 + ... + 152870171.

It is an arithmetic number, because the mean of its divisors is an integer number (7579172030976).

Almost surely, 2^{330034331401340} 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 330034331401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363800257486848).

330034331401340 is an abundant number, since it is smaller than the sum of its proper divisors (397566183572356).

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

330034331401340 is a wasteful number, since it uses less digits than its factorization.

330034331401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176419 (or 2176417 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 330034331401340 its reverse (43104133430033), we get a palindrome (373138464831373).

The spelling of 330034331401340 in words is "three hundred thirty trillion, thirty-four billion, three hundred thirty-one million, four hundred one thousand, three hundred forty".