444984806880 has 144 divisors (see below), whose sum is σ = 1521556218000. Its totient is φ = 118424623104.

The previous prime is 444984806857. The next prime is 444984806921. The reversal of 444984806880 is 88608489444.

444984806880 is a `hidden beast` number, since 4 + 4 + 4 + 98 + 480 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×444984806880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408924 + ... + 1028196.

It is an arithmetic number, because the mean of its divisors is an integer number (10566362625).

Almost surely, 2^444984806880 is an apocalyptic number.

444984806880 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 444984806880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760778109000).

444984806880 is an abundant number, since it is smaller than the sum of its proper divisors (1076571411120).

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

444984806880 is a wasteful number, since it uses less digits than its factorization.

444984806880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619793 (or 619782 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 444984806880 in words is "four hundred forty-four billion, nine hundred eighty-four million, eight hundred six thousand, eight hundred eighty".