44169840000 has 1440 divisors, whose sum is σ = 193889341800. Its totient is φ = 9884160000.

The previous prime is 44169839947. The next prime is 44169840007. The reversal of 44169840000 is 4896144.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44169840007) 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 179 ways as a sum of consecutive naturals, for example, 3397679994 + ... + 3397680006.

Almost surely, 2^44169840000 is an apocalyptic number.

44169840000 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 44169840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96944670900).

44169840000 is an abundant number, since it is smaller than the sum of its proper divisors (149719501800).

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

44169840000 is a wasteful number, since it uses less digits than its factorization.

44169840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 44169840000 in words is "forty-four billion, one hundred sixty-nine million, eight hundred forty thousand".