44441012000 has 192 divisors, whose sum is σ = 136135883520. Its totient is φ = 13851648000.

The previous prime is 44441011963. The next prime is 44441012003. The reversal of 44441012000 is 21014444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (44441012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235856 + ... + 380144.

It is an arithmetic number, because the mean of its divisors is an integer number (709041060).

Almost surely, 2^44441012000 is an apocalyptic number.

44441012000 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 44441012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68067941760).

44441012000 is an abundant number, since it is smaller than the sum of its proper divisors (91694871520).

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

44441012000 is a wasteful number, since it uses less digits than its factorization.

44441012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144332 (or 144314 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 44441012000 its reverse (21014444), we get a palindrome (44462026444).

The spelling of 44441012000 in words is "forty-four billion, four hundred forty-one million, twelve thousand".