33042200280 has 256 divisors, whose sum is σ = 108929681280. Its totient is φ = 7983857664.

The previous prime is 33042200251. The next prime is 33042200327. The reversal of 33042200280 is 8200224033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33042200280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7319304 + ... + 7323816.

Almost surely, 2^33042200280 is an apocalyptic number.

33042200280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042200280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54464840640).

33042200280 is an abundant number, since it is smaller than the sum of its proper divisors (75887481000).

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

33042200280 is a wasteful number, since it uses less digits than its factorization.

33042200280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 33042200280 in words is "thirty-three billion, forty-two million, two hundred thousand, two hundred eighty".