33400100240 has 40 divisors (see below), whose sum is σ = 83628715128. Its totient is φ = 12332344320.

The previous prime is 33400100213. The next prime is 33400100291. The reversal of 33400100240 is 4200100433.

It can be written as a sum of positive squares in 4 ways, for example, as 630411664 + 32769688576 = 25108^2 + 181024^2 .

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

It is a super-2 number, since 2×33400100240² (a number of 22 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 16056701 + ... + 16058780.

Almost surely, 2^33400100240 is an apocalyptic number.

It is an amenable number.

33400100240 is an abundant number, since it is smaller than the sum of its proper divisors (50228614888).

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

33400100240 is a wasteful number, since it uses less digits than its factorization.

33400100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32115507 (or 32115501 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 33400100240 its reverse (4200100433), we get a palindrome (37600200673).

The spelling of 33400100240 in words is "thirty-three billion, four hundred million, one hundred thousand, two hundred forty".