8041549824 has 312 divisors, whose sum is σ = 28970190912. Its totient is φ = 2087976960.

The previous prime is 8041549811. The next prime is 8041549829. The reversal of 8041549824 is 4289451408.

8041549824 is a `hidden beast` number, since 80 + 4 + 1 + 549 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8041549824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8041549829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837112 + ... + 2839944.

It is an arithmetic number, because the mean of its divisors is an integer number (92853176).

Almost surely, 2^8041549824 is an apocalyptic number.

8041549824 is a gapful number since it is divisible by the number (84) 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 8041549824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14485095456).

8041549824 is an abundant number, since it is smaller than the sum of its proper divisors (20928641088).

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

8041549824 is a wasteful number, since it uses less digits than its factorization.

8041549824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8041549824 is about 89674.6888703830. The cubic root of 8041549824 is about 2003.4565081676.

The spelling of 8041549824 in words is "eight billion, forty-one million, five hundred forty-nine thousand, eight hundred twenty-four".