8422943760000 has 3840 divisors, whose sum is σ = 41588611384320. Its totient is φ = 1642291200000.

The previous prime is 8422943759897. The next prime is 8422943760053. The reversal of 8422943760000 is 673492248.

8422943760000 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 9 + 4 + 37 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 25446959835 + ... + 25446960165.

It is an arithmetic number, because the mean of its divisors is an integer number (10830367548).

Almost surely, 2^{8422943760000} is an apocalyptic number.

8422943760000 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 8422943760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794305692160).

8422943760000 is an abundant number, since it is smaller than the sum of its proper divisors (33165667624320).

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

8422943760000 is a wasteful number, since it uses less digits than its factorization.

8422943760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 8422943760000 in words is "eight trillion, four hundred twenty-two billion, nine hundred forty-three million, seven hundred sixty thousand".