8440912480 has 288 divisors, whose sum is σ = 27256551840. Its totient is φ = 2428231680.

The previous prime is 8440912477. The next prime is 8440912511. The reversal of 8440912480 is 842190448.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 1117356 + ... + 1124884.

It is an arithmetic number, because the mean of its divisors is an integer number (94640805).

Almost surely, 2^8440912480 is an apocalyptic number.

8440912480 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 8440912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628275920).

8440912480 is an abundant number, since it is smaller than the sum of its proper divisors (18815639360).

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

8440912480 is a wasteful number, since it uses less digits than its factorization.

8440912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 8440912480 is about 91874.4386649519. The cubic root of 8440912480 is about 2036.0876316266.

The spelling of 8440912480 in words is "eight billion, four hundred forty million, nine hundred twelve thousand, four hundred eighty".