32055435440 has 160 divisors (see below), whose sum is σ = 89266012800. Its totient is φ = 10693057536.

The previous prime is 32055435413. The next prime is 32055435443. The reversal of 32055435440 is 4453455023.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 32055435440.

It is not an unprimeable number, because it can be changed into a prime (32055435443) 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 31 ways as a sum of consecutive naturals, for example, 999494 + ... + 1031066.

It is an arithmetic number, because the mean of its divisors is an integer number (557912580).

Almost surely, 2^32055435440 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 32055435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44633006400).

32055435440 is an abundant number, since it is smaller than the sum of its proper divisors (57210577360).

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

32055435440 is a wasteful number, since it uses less digits than its factorization.

32055435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31644 (or 31624 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The spelling of 32055435440 in words is "thirty-two billion, fifty-five million, four hundred thirty-five thousand, four hundred forty".