8043141456 has 640 divisors, whose sum is σ = 29712384000. Its totient is φ = 2072770560.

The previous prime is 8043141409. The next prime is 8043141497. The reversal of 8043141456 is 6541413408.

8043141456 is a `hidden beast` number, since 80 + 431 + 4 + 145 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8043141456.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 78088701 + ... + 78088803.

It is an arithmetic number, because the mean of its divisors is an integer number (46425600).

Almost surely, 2^8043141456 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 8043141456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14856192000).

8043141456 is an abundant number, since it is smaller than the sum of its proper divisors (21669242544).

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

8043141456 is a wasteful number, since it uses less digits than its factorization.

8043141456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8043141456 is about 89683.5629087070. The cubic root of 8043141456 is about 2003.5886781764.

The spelling of 8043141456 in words is "eight billion, forty-three million, one hundred forty-one thousand, four hundred fifty-six".