32444041000 has 256 divisors, whose sum is σ = 93445747200. Its totient is φ = 10289664000.

The previous prime is 32444040961. The next prime is 32444041031. The reversal of 32444041000 is 14044423.

It is a super-3 number, since 3×32444041000³ (a number of 33 digits) contains 333 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7018690 + ... + 7023310.

It is an arithmetic number, because the mean of its divisors is an integer number (365022450).

Almost surely, 2^32444041000 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 32444041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46722873600).

32444041000 is an abundant number, since it is smaller than the sum of its proper divisors (61001706200).

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

32444041000 is a wasteful number, since it uses less digits than its factorization.

32444041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 32444041000 its reverse (14044423), we get a palindrome (32458085423).

The spelling of 32444041000 in words is "thirty-two billion, four hundred forty-four million, forty-one thousand".