330212432330040 has 256 divisors, whose sum is σ = 1083579556792320. Its totient is φ = 80009507635200.

The previous prime is 330212432330029. The next prime is 330212432330041. The reversal of 330212432330040 is 40033234212033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330212432330041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137507640 + ... + 139888440.

It is an arithmetic number, because the mean of its divisors is an integer number (4232732643720).

Almost surely, 2^{330212432330040} is an apocalyptic number.

330212432330040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330212432330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541789778396160).

330212432330040 is an abundant number, since it is smaller than the sum of its proper divisors (753367124462280).

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

330212432330040 is a wasteful number, since it uses less digits than its factorization.

330212432330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382222 (or 2382218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 330212432330040 its reverse (40033234212033), we get a palindrome (370245666542073).

The spelling of 330212432330040 in words is "three hundred thirty trillion, two hundred twelve billion, four hundred thirty-two million, three hundred thirty thousand, forty".