8444403078480 has 240 divisors, whose sum is σ = 28716852003840. Its totient is φ = 2223541297152.

The previous prime is 8444403078457. The next prime is 8444403078499. The reversal of 8444403078480 is 848703044448.

8444403078480 is a `hidden beast` number, since 8 + 44 + 440 + 3 + 0 + 7 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×8444403078480² (a number of 27 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 47 ways as a sum of consecutive naturals, for example, 30522049 + ... + 30797471.

It is an arithmetic number, because the mean of its divisors is an integer number (119653550016).

Almost surely, 2^{8444403078480} is an apocalyptic number.

8444403078480 is a gapful number since it is divisible by the number (80) 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 8444403078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358426001920).

8444403078480 is an abundant number, since it is smaller than the sum of its proper divisors (20272448925360).

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

8444403078480 is a wasteful number, since it uses less digits than its factorization.

8444403078480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275978 (or 275969 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 54.

The spelling of 8444403078480 in words is "eight trillion, four hundred forty-four billion, four hundred three million, seventy-eight thousand, four hundred eighty".