330034103241040 has 480 divisors, whose sum is σ = 874035353157120. Its totient is φ = 115730298055680.

The previous prime is 330034103241023. The next prime is 330034103241071. The reversal of 330034103241040 is 40142301430033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77490982431 + ... + 77490986689.

It is an arithmetic number, because the mean of its divisors is an integer number (1820906985744).

Almost surely, 2^{330034103241040} 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 330034103241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437017676578560).

330034103241040 is an abundant number, since it is smaller than the sum of its proper divisors (544001249916080).

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

330034103241040 is a wasteful number, since it uses less digits than its factorization.

330034103241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 330034103241040 its reverse (40142301430033), we get a palindrome (370176404671073).

The spelling of 330034103241040 in words is "three hundred thirty trillion, thirty-four billion, one hundred three million, two hundred forty-one thousand, forty".