33014032040 has 96 divisors (see below), whose sum is σ = 82987579080. Its totient is φ = 11808192000.

The previous prime is 33014032033. The next prime is 33014032067. The reversal of 33014032040 is 4023041033.

It can be written as a sum of positive squares in 4 ways, for example, as 18527020996 + 14487011044 = 136114^2 + 120362^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239330 + ... + 351150.

Almost surely, 2^33014032040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33014032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41493789540).

33014032040 is an abundant number, since it is smaller than the sum of its proper divisors (49973547040).

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

33014032040 is a wasteful number, since it uses less digits than its factorization.

33014032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111915 (or 111900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33014032040 its reverse (4023041033), we get a palindrome (37037073073).

The spelling of 33014032040 in words is "thirty-three billion, fourteen million, thirty-two thousand, forty".