8241045840 has 320 divisors, whose sum is σ = 28955646720. Its totient is φ = 2154055680.

The previous prime is 8241045833. The next prime is 8241045863. The reversal of 8241045840 is 485401428.

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

It is a junction number, because it is equal to n+sod(n) for n = 8241045795 and 8241045804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41832622 + ... + 41832818.

It is an arithmetic number, because the mean of its divisors is an integer number (90486396).

Almost surely, 2^8241045840 is an apocalyptic number.

8241045840 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 8241045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

8241045840 is an abundant number, since it is smaller than the sum of its proper divisors (20714600880).

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

8241045840 is a wasteful number, since it uses less digits than its factorization.

8241045840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8241045840 is about 90780.2062125880. The cubic root of 8241045840 is about 2019.8887171973. Note that the first 3 decimals are identical.

The spelling of 8241045840 in words is "eight billion, two hundred forty-one million, forty-five thousand, eight hundred forty".