33411212340 has 192 divisors, whose sum is σ = 107594403840. Its totient is φ = 7661468160.

The previous prime is 33411212309. The next prime is 33411212363. The reversal of 33411212340 is 4321211433.

It is a happy number.

It is a super-2 number, since 2×33411212340² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33411212340.

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 63 ways as a sum of consecutive naturals, for example, 9992709 + ... + 9996051.

It is an arithmetic number, because the mean of its divisors is an integer number (560387520).

Almost surely, 2^33411212340 is an apocalyptic number.

33411212340 is a gapful number since it is divisible by the number (30) 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 33411212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53797201920).

33411212340 is an abundant number, since it is smaller than the sum of its proper divisors (74183191500).

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

33411212340 is a wasteful number, since it uses less digits than its factorization.

33411212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33411212340 its reverse (4321211433), we get a palindrome (37732423773).

The spelling of 33411212340 in words is "thirty-three billion, four hundred eleven million, two hundred twelve thousand, three hundred forty".