33302042000 has 40 divisors (see below), whose sum is σ = 80524342392. Its totient is φ = 13320816000.

The previous prime is 33302041979. The next prime is 33302042003. The reversal of 33302042000 is 24020333.

It can be written as a sum of positive squares in 4 ways, for example, as 561310864 + 32740731136 = 23692^2 + 180944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33302042000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33302042000.

It is not an unprimeable number, because it can be changed into a prime (33302042003) 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 7 ways as a sum of consecutive naturals, for example, 8323511 + ... + 8327510.

Almost surely, 2^33302042000 is an apocalyptic number.

It is an amenable number.

33302042000 is an abundant number, since it is smaller than the sum of its proper divisors (47222300392).

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

33302042000 is a wasteful number, since it uses less digits than its factorization.

33302042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16651044 (or 16651028 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 33302042000 its reverse (24020333), we get a palindrome (33326062333).

The spelling of 33302042000 in words is "thirty-three billion, three hundred two million, forty-two thousand".