982193538240 has 252 divisors, whose sum is σ = 3531612468384. Its totient is φ = 250530137088.

The previous prime is 982193538239. The next prime is 982193538247. The reversal of 982193538240 is 42835391289.

982193538240 is a `hidden beast` number, since 9 + 8 + 219 + 3 + 5 + 382 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (982193538247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1201177 + ... + 1845863.

It is an arithmetic number, because the mean of its divisors is an integer number (14014335192).

Almost surely, 2^982193538240 is an apocalyptic number.

982193538240 is a gapful number since it is divisible by the number (90) 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 982193538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765806234192).

982193538240 is an abundant number, since it is smaller than the sum of its proper divisors (2549418930144).

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

982193538240 is a wasteful number, since it uses less digits than its factorization.

982193538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644756 (or 644720 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 982193538240 in words is "nine hundred eighty-two billion, one hundred ninety-three million, five hundred thirty-eight thousand, two hundred forty".