33220442304 has 448 divisors, whose sum is σ = 115515136000. Its totient is φ = 9163984896.

The previous prime is 33220442291. The next prime is 33220442323. The reversal of 33220442304 is 40324402233.

33220442304 is a `hidden beast` number, since 3 + 32 + 204 + 423 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33220442304² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89062662 + ... + 89063034.

Almost surely, 2^33220442304 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 33220442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57757568000).

33220442304 is an abundant number, since it is smaller than the sum of its proper divisors (82294693696).

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

33220442304 is a wasteful number, since it uses less digits than its factorization.

33220442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 33220442304 its reverse (40324402233), we get a palindrome (73544844537).

The spelling of 33220442304 in words is "thirty-three billion, two hundred twenty million, four hundred forty-two thousand, three hundred four".