33412050504 has 384 divisors, whose sum is σ = 113979936000. Its totient is φ = 8876583936.

The previous prime is 33412050499. The next prime is 33412050523. The reversal of 33412050504 is 40505021433.

33412050504 is a `hidden beast` number, since 3 + 34 + 120 + 5 + 0 + 504 = 666.

It is a super-2 number, since 2×33412050504² (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 95 ways as a sum of consecutive naturals, for example, 29593812 + ... + 29594940.

It is an arithmetic number, because the mean of its divisors is an integer number (296822750).

Almost surely, 2^33412050504 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 33412050504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56989968000).

33412050504 is an abundant number, since it is smaller than the sum of its proper divisors (80567885496).

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

33412050504 is a wasteful number, since it uses less digits than its factorization.

33412050504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 33412050504 its reverse (40505021433), we get a palindrome (73917071937).

The spelling of 33412050504 in words is "thirty-three billion, four hundred twelve million, fifty thousand, five hundred four".