8880040480400 has 120 divisors (see below), whose sum is σ = 22467345390720. Its totient is φ = 3363541009920.

The previous prime is 8880040480361. The next prime is 8880040480427. The reversal of 8880040480400 is 40840400888.

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 23 ways as a sum of consecutive naturals, for example, 16554809 + ... + 17082791.

It is an arithmetic number, because the mean of its divisors is an integer number (187227878256).

Almost surely, 2^{8880040480400} is an apocalyptic number.

8880040480400 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 8880040480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233672695360).

8880040480400 is an abundant number, since it is smaller than the sum of its proper divisors (13587304910320).

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

8880040480400 is a wasteful number, since it uses less digits than its factorization.

8880040480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530233 (or 530222 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 8880040480400 in words is "eight trillion, eight hundred eighty billion, forty million, four hundred eighty thousand, four hundred".