8441492428800 has 864 divisors, whose sum is σ = 31888259020800. Its totient is φ = 2128223600640.

The previous prime is 8441492428753. The next prime is 8441492428801. The reversal of 8441492428800 is 88242941448.

8441492428800 is a `hidden beast` number, since 8 + 44 + 14 + 92 + 428 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8441492428801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7765861857 + ... + 7765862943.

It is an arithmetic number, because the mean of its divisors is an integer number (36907707200).

Almost surely, 2^{8441492428800} is an apocalyptic number.

8441492428800 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 8441492428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944129510400).

8441492428800 is an abundant number, since it is smaller than the sum of its proper divisors (23446766592000).

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

8441492428800 is a wasteful number, since it uses less digits than its factorization.

8441492428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 8441492428800 in words is "eight trillion, four hundred forty-one billion, four hundred ninety-two million, four hundred twenty-eight thousand, eight hundred".