444206541000 has 256 divisors, whose sum is σ = 1428688834560. Its totient is φ = 114847353600.

The previous prime is 444206540963. The next prime is 444206541001. The reversal of 444206541000 is 145602444.

It is a happy number.

444206541000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (444206541001) 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, 15072279 + ... + 15101721.

It is an arithmetic number, because the mean of its divisors is an integer number (5580815760).

Almost surely, 2^444206541000 is an apocalyptic number.

444206541000 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 444206541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714344417280).

444206541000 is an abundant number, since it is smaller than the sum of its proper divisors (984482293560).

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

444206541000 is a wasteful number, since it uses less digits than its factorization.

444206541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29621 (or 29607 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 444206541000 in words is "four hundred forty-four billion, two hundred six million, five hundred forty-one thousand".