44041216896 has 384 divisors, whose sum is σ = 140738457600. Its totient is φ = 13163212800.

The previous prime is 44041216789. The next prime is 44041216903. The reversal of 44041216896 is 69861214044.

44041216896 is a `hidden beast` number, since 440 + 4 + 121 + 6 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31890126 + ... + 31891506.

It is an arithmetic number, because the mean of its divisors is an integer number (366506400).

Almost surely, 2^44041216896 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 44041216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70369228800).

44041216896 is an abundant number, since it is smaller than the sum of its proper divisors (96697240704).

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

44041216896 is a wasteful number, since it uses less digits than its factorization.

44041216896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 44041216896 in words is "forty-four billion, forty-one million, two hundred sixteen thousand, eight hundred ninety-six".