44725187316960 has 288 divisors, whose sum is σ = 153090454870080. Its totient is φ = 11890354176000.

The previous prime is 44725187316923. The next prime is 44725187317001. The reversal of 44725187316960 is 6961378152744.

44725187316960 is a `hidden beast` number, since 4 + 4 + 7 + 251 + 8 + 7 + 316 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084989150 + ... + 1085030370.

It is an arithmetic number, because the mean of its divisors is an integer number (531564079410).

It is a 1-persistent number, because it is pandigital, but 2⋅44725187316960 = 89450374633920 is not.

Almost surely, 2^{44725187316960} is an apocalyptic number.

44725187316960 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 44725187316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76545227435040).

44725187316960 is an abundant number, since it is smaller than the sum of its proper divisors (108365267553120).

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

44725187316960 is a wasteful number, since it uses less digits than its factorization.

44725187316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43522 (or 43511 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 44725187316960 in words is "forty-four trillion, seven hundred twenty-five billion, one hundred eighty-seven million, three hundred sixteen thousand, nine hundred sixty".