44728716160 has 128 divisors (see below), whose sum is σ = 108009676800. Its totient is φ = 17711769600.

The previous prime is 44728716157. The next prime is 44728716161. The reversal of 44728716160 is 6161782744.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 44728716160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44728716161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29214595 + ... + 29216125.

It is an arithmetic number, because the mean of its divisors is an integer number (843825600).

Almost surely, 2^44728716160 is an apocalyptic number.

44728716160 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 44728716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54004838400).

44728716160 is an abundant number, since it is smaller than the sum of its proper divisors (63280960640).

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

44728716160 is a wasteful number, since it uses less digits than its factorization.

44728716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 44728716160 in words is "forty-four billion, seven hundred twenty-eight million, seven hundred sixteen thousand, one hundred sixty".