330434054240 has 96 divisors (see below), whose sum is σ = 808378631424. Its totient is φ = 127505848320.

The previous prime is 330434054231. The next prime is 330434054243. The reversal of 330434054240 is 42450434033.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 330434054197 and 330434054206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330434054243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1467242 + ... + 1677398.

It is an arithmetic number, because the mean of its divisors is an integer number (8420610744).

Almost surely, 2^330434054240 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 330434054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404189315712).

330434054240 is an abundant number, since it is smaller than the sum of its proper divisors (477944577184).

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

330434054240 is a wasteful number, since it uses less digits than its factorization.

330434054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210520 (or 210512 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 330434054240 its reverse (42450434033), we get a palindrome (372884488273).

The spelling of 330434054240 in words is "three hundred thirty billion, four hundred thirty-four million, fifty-four thousand, two hundred forty".