33412242204 has 384 divisors, whose sum is σ = 102793743360. Its totient is φ = 9273139200.

The previous prime is 33412242133. The next prime is 33412242229. The reversal of 33412242204 is 40224221433.

33412242204 is a `hidden beast` number, since 3 + 3 + 412 + 2 + 42 + 204 = 666.

It is a super-2 number, since 2×33412242204² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 193134262 + ... + 193134434.

It is an arithmetic number, because the mean of its divisors is an integer number (267692040).

Almost surely, 2^33412242204 is an apocalyptic number.

33412242204 is a gapful number since it is divisible by the number (34) 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 33412242204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51396871680).

33412242204 is an abundant number, since it is smaller than the sum of its proper divisors (69381501156).

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

33412242204 is a wasteful number, since it uses less digits than its factorization.

33412242204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 33412242204 its reverse (40224221433), we get a palindrome (73636463637).

The spelling of 33412242204 in words is "thirty-three billion, four hundred twelve million, two hundred forty-two thousand, two hundred four".