32320380040 has 64 divisors (see below), whose sum is σ = 78391882800. Its totient is φ = 11921928192.

The previous prime is 32320380031. The next prime is 32320380041. The reversal of 32320380040 is 4008302323.

It can be written as a sum of positive squares in 8 ways, for example, as 27216420676 + 5103959364 = 164974^2 + 71442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32320379987 and 32320380014.

It is not an unprimeable number, because it can be changed into a prime (32320380041) 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 15 ways as a sum of consecutive naturals, for example, 507076 + ... + 567244.

Almost surely, 2^32320380040 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 32320380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39195941400).

32320380040 is an abundant number, since it is smaller than the sum of its proper divisors (46071502760).

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

32320380040 is a wasteful number, since it uses less digits than its factorization.

32320380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61226 (or 61222 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 32320380040 its reverse (4008302323), we get a palindrome (36328682363).

The spelling of 32320380040 in words is "thirty-two billion, three hundred twenty million, three hundred eighty thousand, forty".