33060330400 has 72 divisors (see below), whose sum is σ = 80748480204. Its totient is φ = 13217587200.

The previous prime is 33060330349. The next prime is 33060330437. The reversal of 33060330400 is 403306033.

It can be written as a sum of positive squares in 6 ways, for example, as 27514847376 + 5545483024 = 165876^2 + 74468^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1809310 + ... + 1827490.

Almost surely, 2^33060330400 is an apocalyptic number.

It is an amenable number.

33060330400 is an abundant number, since it is smaller than the sum of its proper divisors (47688149804).

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

33060330400 is a wasteful number, since it uses less digits than its factorization.

33060330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20474 (or 20461 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 33060330400 its reverse (403306033), we get a palindrome (33463636433).

The spelling of 33060330400 in words is "thirty-three billion, sixty million, three hundred thirty thousand, four hundred".