33120947040 has 96 divisors (see below), whose sum is σ = 104559971040. Its totient is φ = 8812867584.

The previous prime is 33120947033. The next prime is 33120947077. The reversal of 33120947040 is 4074902133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 33120946992 and 33120947010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 143866 + ... + 294854.

It is an arithmetic number, because the mean of its divisors is an integer number (1089166365).

Almost surely, 2^33120947040 is an apocalyptic number.

33120947040 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 33120947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52279985520).

33120947040 is an abundant number, since it is smaller than the sum of its proper divisors (71439024000).

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

33120947040 is a wasteful number, since it uses less digits than its factorization.

33120947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151464 (or 151456 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 33120947040 in words is "thirty-three billion, one hundred twenty million, nine hundred forty-seven thousand, forty".