33404000000 has 252 divisors, whose sum is σ = 95332217232. Its totient is φ = 11443200000.

The previous prime is 33403999991. The next prime is 33404000011. The reversal of 33404000000 is 40433.

It is a super-2 number, since 2×33404000000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27999404 + ... + 28000596.

Almost surely, 2^33404000000 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 33404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47666108616).

33404000000 is an abundant number, since it is smaller than the sum of its proper divisors (61928217232).

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

33404000000 is an frugal number, since it uses more digits than its factorization.

33404000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 33404000000 its reverse (40433), we get a palindrome (33404040433).

The spelling of 33404000000 in words is "thirty-three billion, four hundred four million", and thus it is an aban number.