33444004400 has 30 divisors (see below), whose sum is σ = 80349221532. Its totient is φ = 13377601600.

The previous prime is 33444004397. The next prime is 33444004439. The reversal of 33444004400 is 440044433.

It is a super-2 number, since 2×33444004400² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 33444004400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41804606 + ... + 41805405.

Almost surely, 2^33444004400 is an apocalyptic number.

It is an amenable number.

33444004400 is an abundant number, since it is smaller than the sum of its proper divisors (46905217132).

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

33444004400 is a wasteful number, since it uses less digits than its factorization.

33444004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83610029 (or 83610018 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 33444004400 its reverse (440044433), we get a palindrome (33884048833).

The spelling of 33444004400 in words is "thirty-three billion, four hundred forty-four million, four thousand, four hundred".