33414221120 has 168 divisors, whose sum is σ = 93230212320. Its totient is φ = 11373143040.

The previous prime is 33414221119. The next prime is 33414221171. The reversal of 33414221120 is 2112241433.

It is a super-2 number, since 2×33414221120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2171855 + ... + 2187185.

It is an arithmetic number, because the mean of its divisors is an integer number (554941740).

Almost surely, 2^33414221120 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 33414221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46615106160).

33414221120 is an abundant number, since it is smaller than the sum of its proper divisors (59815991200).

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

33414221120 is a wasteful number, since it uses less digits than its factorization.

33414221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15501 (or 15484 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 33414221120 its reverse (2112241433), we get a palindrome (35526462553).

The spelling of 33414221120 in words is "thirty-three billion, four hundred fourteen million, two hundred twenty-one thousand, one hundred twenty".