33414224140 has 96 divisors (see below), whose sum is σ = 78413448960. Its totient is φ = 11855289600.

The previous prime is 33414224117. The next prime is 33414224141. The reversal of 33414224140 is 4142241433.

It is a super-2 number, since 2×33414224140² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33414224099 and 33414224108.

It is not an unprimeable number, because it can be changed into a prime (33414224141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15333571 + ... + 15335749.

It is an arithmetic number, because the mean of its divisors is an integer number (816806760).

Almost surely, 2^33414224140 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 33414224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39206724480).

33414224140 is an abundant number, since it is smaller than the sum of its proper divisors (44999224820).

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

33414224140 is a wasteful number, since it uses less digits than its factorization.

33414224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 33414224140 its reverse (4142241433), we get a palindrome (37556465573).

It can be divided in two parts, 3 and 3414224140, that added together give a palindrome (3414224143).

The spelling of 33414224140 in words is "thirty-three billion, four hundred fourteen million, two hundred twenty-four thousand, one hundred forty".