44385913978560 has 2016 divisors, whose sum is σ = 196519266478080. Its totient is φ = 8996617175040.

The previous prime is 44385913978543. The next prime is 44385913978633. The reversal of 44385913978560 is 6587931958344.

44385913978560 is a `hidden beast` number, since 4 + 4 + 3 + 8 + 59 + 1 + 3 + 9 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53541512226 + ... + 53541513054.

It is an arithmetic number, because the mean of its divisors is an integer number (97479794880).

Almost surely, 2^{44385913978560} is an apocalyptic number.

44385913978560 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 44385913978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98259633239040).

44385913978560 is an abundant number, since it is smaller than the sum of its proper divisors (152133352499520).

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

44385913978560 is a wasteful number, since it uses less digits than its factorization.

44385913978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 44385913978560 in words is "forty-four trillion, three hundred eighty-five billion, nine hundred thirteen million, nine hundred seventy-eight thousand, five hundred sixty".