32982135040 has 108 divisors (see below), whose sum is σ = 81636241932. Its totient is φ = 12766801920.

The previous prime is 32982135031. The next prime is 32982135041. The reversal of 32982135040 is 4053128923.

It can be written as a sum of positive squares in 2 ways, for example, as 18335326464 + 14646808576 = 135408^2 + 121024^2 .

It is not an unprimeable number, because it can be changed into a prime (32982135041) 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 11 ways as a sum of consecutive naturals, for example, 1216674 + ... + 1243486.

It is an arithmetic number, because the mean of its divisors is an integer number (755891129).

Almost surely, 2^32982135040 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 32982135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40818120966).

32982135040 is an abundant number, since it is smaller than the sum of its proper divisors (48654106892).

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

32982135040 is an equidigital number, since it uses as much as digits as its factorization.

32982135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26896 (or 26851 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 32982135040 in words is "thirty-two billion, nine hundred eighty-two million, one hundred thirty-five thousand, forty".