33120320040 has 160 divisors (see below), whose sum is σ = 117869570280. Its totient is φ = 8312537088.

The previous prime is 33120320033. The next prime is 33120320089. The reversal of 33120320040 is 4002302133.

It can be written as a sum of positive squares in 4 ways, for example, as 33110169444 + 10150596 = 181962^2 + 3186^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33120319995 and 33120320022.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245577 + ... + 355736.

Almost surely, 2^33120320040 is an apocalyptic number.

33120320040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33120320040 is an abundant number, since it is smaller than the sum of its proper divisors (84749250240).

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

33120320040 is a wasteful number, since it uses less digits than its factorization.

33120320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601353 (or 601340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33120320040 its reverse (4002302133), we get a palindrome (37122622173).

The spelling of 33120320040 in words is "thirty-three billion, one hundred twenty million, three hundred twenty thousand, forty".