32304413440 has 144 divisors (see below), whose sum is σ = 83493704448. Its totient is φ = 11904565248.

The previous prime is 32304413437. The next prime is 32304413507. The reversal of 32304413440 is 4431440323.

It is a junction number, because it is equal to n+sod(n) for n = 32304413399 and 32304413408.

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 15 ways as a sum of consecutive naturals, for example, 10198737 + ... + 10201903.

It is an arithmetic number, because the mean of its divisors is an integer number (579817392).

Almost surely, 2^32304413440 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 32304413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41746852224).

32304413440 is an abundant number, since it is smaller than the sum of its proper divisors (51189291008).

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

32304413440 is a wasteful number, since it uses less digits than its factorization.

32304413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 32304413440 its reverse (4431440323), we get a palindrome (36735853763).

The spelling of 32304413440 in words is "thirty-two billion, three hundred four million, four hundred thirteen thousand, four hundred forty".