32441313000 has 128 divisors (see below), whose sum is σ = 101604222720. Its totient is φ = 8617913600.

The previous prime is 32441312989. The next prime is 32441313011. The reversal of 32441313000 is 31314423.

It is an interprime number because it is at equal distance from previous prime (32441312989) and next prime (32441313011).

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 31 ways as a sum of consecutive naturals, for example, 768442 + ... + 809558.

It is an arithmetic number, because the mean of its divisors is an integer number (793782990).

Almost surely, 2^32441313000 is an apocalyptic number.

32441313000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32441313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50802111360).

32441313000 is an abundant number, since it is smaller than the sum of its proper divisors (69162909720).

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

32441313000 is a wasteful number, since it uses less digits than its factorization.

32441313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41404 (or 41390 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32441313000 its reverse (31314423), we get a palindrome (32472627423).

The spelling of 32441313000 in words is "thirty-two billion, four hundred forty-one million, three hundred thirteen thousand".