8040819456 has 216 divisors, whose sum is σ = 25311424320. Its totient is φ = 2538832896.

The previous prime is 8040819407. The next prime is 8040819541. The reversal of 8040819456 is 6549180408.

8040819456 is a `hidden beast` number, since 8 + 0 + 408 + 194 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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, 1178551 + ... + 1185353.

It is an arithmetic number, because the mean of its divisors is an integer number (117182520).

Almost surely, 2^8040819456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8040819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655712160).

8040819456 is an abundant number, since it is smaller than the sum of its proper divisors (17270604864).

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

8040819456 is an equidigital number, since it uses as much as digits as its factorization.

8040819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8040819456 is about 89670.6164582356. The cubic root of 8040819456 is about 2003.3958521640.

The spelling of 8040819456 in words is "eight billion, forty million, eight hundred nineteen thousand, four hundred fifty-six".