44289726888960 has 2112 divisors, whose sum is σ = 189141334806528. Its totient is φ = 9364300627968.

The previous prime is 44289726888899. The next prime is 44289726889081. The reversal of 44289726888960 is 6988862798244.

44289726888960 is a `hidden beast` number, since 4 + 428 + 9 + 7 + 26 + 8 + 88 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44289726888960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28703645949 + ... + 28703647491.

Almost surely, 2^{44289726888960} is an apocalyptic number.

44289726888960 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 44289726888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94570667403264).

44289726888960 is an abundant number, since it is smaller than the sum of its proper divisors (144851607917568).

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

44289726888960 is a wasteful number, since it uses less digits than its factorization.

44289726888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 44289726888960 in words is "forty-four trillion, two hundred eighty-nine billion, seven hundred twenty-six million, eight hundred eighty-eight thousand, nine hundred sixty".