444201286032 has 180 divisors, whose sum is σ = 1454984977680. Its totient is φ = 126135709056.

The previous prime is 444201286013. The next prime is 444201286037. The reversal of 444201286032 is 230682102444.

444201286032 is a `hidden beast` number, since 4 + 4 + 4 + 20 + 1 + 28 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (444201286037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 957019 + ... + 1343237.

It is an arithmetic number, because the mean of its divisors is an integer number (8083249876).

Almost surely, 2^444201286032 is an apocalyptic number.

444201286032 is a gapful number since it is divisible by the number (42) 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 444201286032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727492488840).

444201286032 is an abundant number, since it is smaller than the sum of its proper divisors (1010783691648).

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

444201286032 is a wasteful number, since it uses less digits than its factorization.

444201286032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386410 (or 386394 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 444201286032 its reverse (230682102444), we get a palindrome (674883388476).

The spelling of 444201286032 in words is "four hundred forty-four billion, two hundred one million, two hundred eighty-six thousand, thirty-two".