986140026144 has 1440 divisors, whose sum is σ = 3884783535360. Its totient is φ = 243757817856.

The previous prime is 986140026089. The next prime is 986140026149. The reversal of 986140026144 is 441620041689.

986140026144 is a `hidden beast` number, since 9 + 8 + 614 + 0 + 0 + 26 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 986140026144.

It is not an unprimeable number, because it can be changed into a prime (986140026149) 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 239 ways as a sum of consecutive naturals, for example, 4126108777 + ... + 4126109015.

It is an arithmetic number, because the mean of its divisors is an integer number (2697766344).

Almost surely, 2^986140026144 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 986140026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942391767680).

986140026144 is an abundant number, since it is smaller than the sum of its proper divisors (2898643509216).

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

986140026144 is a wasteful number, since it uses less digits than its factorization.

986140026144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 986140026144 in words is "nine hundred eighty-six billion, one hundred forty million, twenty-six thousand, one hundred forty-four".