33104334124400 has 720 divisors, whose sum is σ = 102458885059872. Its totient is φ = 10162897920000.

The previous prime is 33104334124397. The next prime is 33104334124417. The reversal of 33104334124400 is 442143340133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4289789342 + ... + 4289797058.

Almost surely, 2^{33104334124400} 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 33104334124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51229442529936).

33104334124400 is an abundant number, since it is smaller than the sum of its proper divisors (69354550935472).

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

33104334124400 is a wasteful number, since it uses less digits than its factorization.

33104334124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 33104334124400 its reverse (442143340133), we get a palindrome (33546477464533).

It can be divided in two parts, 331043 and 34124400, that added together give a palindrome (34455443).

The spelling of 33104334124400 in words is "thirty-three trillion, one hundred four billion, three hundred thirty-four million, one hundred twenty-four thousand, four hundred".