33406164240 has 80 divisors (see below), whose sum is σ = 104722761600. Its totient is φ = 8808211456.

The previous prime is 33406164199. The next prime is 33406164241. The reversal of 33406164240 is 4246160433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33406164240² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33406164241) 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 15 ways as a sum of consecutive naturals, for example, 760620 + ... + 803339.

It is an arithmetic number, because the mean of its divisors is an integer number (1309034520).

Almost surely, 2^33406164240 is an apocalyptic number.

33406164240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33406164240 is an abundant number, since it is smaller than the sum of its proper divisors (71316597360).

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

33406164240 is a wasteful number, since it uses less digits than its factorization.

33406164240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564064 (or 1564058 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 33406164240 in words is "thirty-three billion, four hundred six million, one hundred sixty-four thousand, two hundred forty".