8816040000 has 420 divisors, whose sum is σ = 32782493744. Its totient is φ = 2348352000.

The previous prime is 8816039977. The next prime is 8816040089. The reversal of 8816040000 is 406188.

It is a super-2 number, since 2×8816040000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9719547 + ... + 9720453.

Almost surely, 2^8816040000 is an apocalyptic number.

8816040000 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 8816040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391246872).

8816040000 is an abundant number, since it is smaller than the sum of its proper divisors (23966453744).

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

8816040000 is an frugal number, since it uses more digits than its factorization.

8816040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8816040000 is about 93893.7697613638. The cubic root of 8816040000 is about 2065.8138463010.

Adding to 8816040000 its reverse (406188), we get a palindrome (8816446188).

The spelling of 8816040000 in words is "eight billion, eight hundred sixteen million, forty thousand".