44133116160 has 432 divisors, whose sum is σ = 166093804800. Its totient is φ = 9956524032.

The previous prime is 44133116143. The next prime is 44133116161. The reversal of 44133116160 is 6161133144.

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 (44133116161) 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 47 ways as a sum of consecutive naturals, for example, 14863156 + ... + 14866124.

It is an arithmetic number, because the mean of its divisors is an integer number (384476400).

Almost surely, 2^44133116160 is an apocalyptic number.

44133116160 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 44133116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83046902400).

44133116160 is an abundant number, since it is smaller than the sum of its proper divisors (121960688640).

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

44133116160 is a wasteful number, since it uses less digits than its factorization.

44133116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 44133116160 in words is "forty-four billion, one hundred thirty-three million, one hundred sixteen thousand, one hundred sixty".