441433848000 has 448 divisors, whose sum is σ = 1527008790528. Its totient is φ = 112152268800.

The previous prime is 441433847971. The next prime is 441433848001. The reversal of 441433848000 is 848334144.

It is a self number, because there is not a number n which added to its sum of digits gives 441433848000.

It is not an unprimeable number, because it can be changed into a prime (441433848001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152902557 + ... + 152905443.

Almost surely, 2^441433848000 is an apocalyptic number.

441433848000 is a gapful number since it is divisible by the number (40) 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 441433848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763504395264).

441433848000 is an abundant number, since it is smaller than the sum of its proper divisors (1085574942528).

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

441433848000 is a wasteful number, since it uses less digits than its factorization.

441433848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 441433848000 in words is "four hundred forty-one billion, four hundred thirty-three million, eight hundred forty-eight thousand".