33040506000 has 320 divisors, whose sum is σ = 114880147200. Its totient is φ = 8142336000.

The previous prime is 33040505999. The next prime is 33040506007. The reversal of 33040506000 is 60504033.

It is not an unprimeable number, because it can be changed into a prime (33040506007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4670466 + ... + 4677534.

It is an arithmetic number, because the mean of its divisors is an integer number (359000460).

Almost surely, 2^33040506000 is an apocalyptic number.

33040506000 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 33040506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57440073600).

33040506000 is an abundant number, since it is smaller than the sum of its proper divisors (81839641200).

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

33040506000 is a wasteful number, since it uses less digits than its factorization.

33040506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The spelling of 33040506000 in words is "thirty-three billion, forty million, five hundred six thousand".