33160794240 has 1024 divisors, whose sum is σ = 135364608000. Its totient is φ = 6735052800.

The previous prime is 33160794229. The next prime is 33160794287. The reversal of 33160794240 is 4249706133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 467053405 + ... + 467053475.

It is an arithmetic number, because the mean of its divisors is an integer number (132192000).

Almost surely, 2^33160794240 is an apocalyptic number.

33160794240 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 33160794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67682304000).

33160794240 is an abundant number, since it is smaller than the sum of its proper divisors (102203813760).

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

33160794240 is a wasteful number, since it uses less digits than its factorization.

33160794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 33160794240 in words is "thirty-three billion, one hundred sixty million, seven hundred ninety-four thousand, two hundred forty".