44440493287680 has 720 divisors, whose sum is σ = 181779815965440. Its totient is φ = 10155200200704.

The previous prime is 44440493287591. The next prime is 44440493287739. The reversal of 44440493287680 is 8678239404444.

44440493287680 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 0 + 493 + 2 + 87 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×44440493287680⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4869119277 + ... + 4869128403.

Almost surely, 2^{44440493287680} is an apocalyptic number.

44440493287680 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 44440493287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90889907982720).

44440493287680 is an abundant number, since it is smaller than the sum of its proper divisors (137339322677760).

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

44440493287680 is an equidigital number, since it uses as much as digits as its factorization.

44440493287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15876 (or 15853 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 44440493287680 in words is "forty-four trillion, four hundred forty billion, four hundred ninety-three million, two hundred eighty-seven thousand, six hundred eighty".