8827003009440 has 1728 divisors, whose sum is σ = 40601123821440. Its totient is φ = 1721943982080.

The previous prime is 8827003009439. The next prime is 8827003009457. The reversal of 8827003009440 is 449003007288.

It is a super-2 number, since 2×8827003009440² (a number of 27 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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1666412872 + ... + 1666418168.

It is an arithmetic number, because the mean of its divisors is an integer number (23496020730).

Almost surely, 2^{8827003009440} is an apocalyptic number.

8827003009440 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 8827003009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20300561910720).

8827003009440 is an abundant number, since it is smaller than the sum of its proper divisors (31774120812000).

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

8827003009440 is a wasteful number, since it uses less digits than its factorization.

8827003009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 8827003009440 in words is "eight trillion, eight hundred twenty-seven billion, three million, nine thousand, four hundred forty".