8826481440 has 384 divisors, whose sum is σ = 35811901440. Its totient is φ = 1988582400.

The previous prime is 8826481409. The next prime is 8826481457. The reversal of 8826481440 is 441846288.

It is a super-2 number, since 2×8826481440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2144985 + ... + 2149095.

It is an arithmetic number, because the mean of its divisors is an integer number (93260160).

Almost surely, 2^8826481440 is an apocalyptic number.

8826481440 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 8826481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905950720).

8826481440 is an abundant number, since it is smaller than the sum of its proper divisors (26985420000).

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

8826481440 is a wasteful number, since it uses less digits than its factorization.

8826481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 8826481440 is about 93949.3557189191. The cubic root of 8826481440 is about 2066.6290861475.

The spelling of 8826481440 in words is "eight billion, eight hundred twenty-six million, four hundred eighty-one thousand, four hundred forty".