33412420330104 has 128 divisors (see below), whose sum is σ = 86520594240000. Its totient is φ = 10739847283200.

The previous prime is 33412420329973. The next prime is 33412420330147. The reversal of 33412420330104 is 40103302421433.

It is a happy number.

It is a super-2 number, since 2×33412420330104² (a number of 28 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 31 ways as a sum of consecutive naturals, for example, 1916830269 + ... + 1916847699.

It is an arithmetic number, because the mean of its divisors is an integer number (675942142500).

Almost surely, 2^{33412420330104} 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 33412420330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43260297120000).

33412420330104 is an abundant number, since it is smaller than the sum of its proper divisors (53108173909896).

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

33412420330104 is a wasteful number, since it uses less digits than its factorization.

33412420330104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20789 (or 20785 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 33412420330104 its reverse (40103302421433), we get a palindrome (73515722751537).

The spelling of 33412420330104 in words is "thirty-three trillion, four hundred twelve billion, four hundred twenty million, three hundred thirty thousand, one hundred four".