33404414320 has 80 divisors (see below), whose sum is σ = 81319920192. Its totient is φ = 12736993280.

The previous prime is 33404414227. The next prime is 33404414321. The reversal of 33404414320 is 2341440433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33404414320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33404414321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 508140 + ... + 570100.

Almost surely, 2^33404414320 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 33404414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40659960096).

33404414320 is an abundant number, since it is smaller than the sum of its proper divisors (47915505872).

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

33404414320 is a wasteful number, since it uses less digits than its factorization.

33404414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62290 (or 62284 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 33404414320 its reverse (2341440433), we get a palindrome (35745854753).

The spelling of 33404414320 in words is "thirty-three billion, four hundred four million, four hundred fourteen thousand, three hundred twenty".