330040100414052 has 432 divisors, whose sum is σ = 977344741376640. Its totient is φ = 93632949043200.

The previous prime is 330040100414051. The next prime is 330040100414053. The reversal of 330040100414052 is 250414001040033.

It is a happy number.

330040100414052 is a `hidden beast` number, since 330 + 0 + 40 + 100 + 4 + 140 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (330040100414051) and next prime (330040100414053).

It is not an unprimeable number, because it can be changed into a prime (330040100414051) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 189569269902 + ... + 189569271642.

It is an arithmetic number, because the mean of its divisors is an integer number (2262372086520).

Almost surely, 2^{330040100414052} 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 330040100414052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488672370688320).

330040100414052 is an abundant number, since it is smaller than the sum of its proper divisors (647304640962588).

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

330040100414052 is a wasteful number, since it uses less digits than its factorization.

330040100414052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 330040100414052 its reverse (250414001040033), we get a palindrome (580454101454085).

The spelling of 330040100414052 in words is "three hundred thirty trillion, forty billion, one hundred million, four hundred fourteen thousand, fifty-two".