330040044231440 has 160 divisors (see below), whose sum is σ = 808268842245120. Its totient is φ = 124984333780992.

The previous prime is 330040044231439. The next prime is 330040044231463. The reversal of 330040044231440 is 44132440040033.

It is a junction number, because it is equal to n+sod(n) for n = 330040044231397 and 330040044231406.

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, 28264106882 + ... + 28264118558.

It is an arithmetic number, because the mean of its divisors is an integer number (5051680264032).

Almost surely, 2^{330040044231440} 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 330040044231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404134421122560).

330040044231440 is an abundant number, since it is smaller than the sum of its proper divisors (478228798013680).

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

330040044231440 is a wasteful number, since it uses less digits than its factorization.

330040044231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22529 (or 22523 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 330040044231440 its reverse (44132440040033), we get a palindrome (374172484271473).

The spelling of 330040044231440 in words is "three hundred thirty trillion, forty billion, forty-four million, two hundred thirty-one thousand, four hundred forty".