8412094080 has 256 divisors, whose sum is σ = 32085446400. Its totient is φ = 2070614016.

The previous prime is 8412094049. The next prime is 8412094087. The reversal of 8412094080 is 804902148.

8412094080 is a `hidden beast` number, since 8 + 41 + 209 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8412094087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205917 + ... + 243363.

It is an arithmetic number, because the mean of its divisors is an integer number (125333775).

Almost surely, 2^8412094080 is an apocalyptic number.

8412094080 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 8412094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042723200).

8412094080 is an abundant number, since it is smaller than the sum of its proper divisors (23673352320).

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

8412094080 is a wasteful number, since it uses less digits than its factorization.

8412094080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37488 (or 37470 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8412094080 is about 91717.4687832149. The cubic root of 8412094080 is about 2033.7678314202.

The spelling of 8412094080 in words is "eight billion, four hundred twelve million, ninety-four thousand, eighty".