8441134464 has 256 divisors, whose sum is σ = 26329121280. Its totient is φ = 2346319872.

The previous prime is 8441134459. The next prime is 8441134477. The reversal of 8441134464 is 4644311448.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 27495399 + ... + 27495705.

It is an arithmetic number, because the mean of its divisors is an integer number (102848130).

Almost surely, 2^8441134464 is an apocalyptic number.

8441134464 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 8441134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164560640).

8441134464 is an abundant number, since it is smaller than the sum of its proper divisors (17887986816).

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

8441134464 is a wasteful number, since it uses less digits than its factorization.

8441134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 8441134464 is about 91875.6467405808. The cubic root of 8441134464 is about 2036.1054802070.

The spelling of 8441134464 in words is "eight billion, four hundred forty-one million, one hundred thirty-four thousand, four hundred sixty-four".