986440107280 has 80 divisors (see below), whose sum is σ = 2357621785584. Its totient is φ = 383559321600.

The previous prime is 986440107221. The next prime is 986440107281. The reversal of 986440107280 is 82701044689.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 500335534336 + 486104572944 = 707344^2 + 697212^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (986440107281) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3082830 + ... + 3387730.

Almost surely, 2^986440107280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986440107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178810892792).

986440107280 is an abundant number, since it is smaller than the sum of its proper divisors (1371181678304).

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

986440107280 is a wasteful number, since it uses less digits than its factorization.

986440107280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306044 (or 306038 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 986440107280 in words is "nine hundred eighty-six billion, four hundred forty million, one hundred seven thousand, two hundred eighty".