33042097872 has 180 divisors, whose sum is σ = 113897476836. Its totient is φ = 8885237760.

The previous prime is 33042097867. The next prime is 33042097909. The reversal of 33042097872 is 27879024033.

33042097872 is a `hidden beast` number, since 3 + 304 + 209 + 78 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20729088576 + 12313009296 = 143976^2 + 110964^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 17779 + ... + 257682.

Almost surely, 2^33042097872 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 33042097872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56948738418).

33042097872 is an abundant number, since it is smaller than the sum of its proper divisors (80855378964).

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

33042097872 is a wasteful number, since it uses less digits than its factorization.

33042097872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275506 (or 275490 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 33042097872 in words is "thirty-three billion, forty-two million, ninety-seven thousand, eight hundred seventy-two".