982441029120 has 320 divisors, whose sum is σ = 3225065082624. Its totient is φ = 254981242880.

The previous prime is 982441029083. The next prime is 982441029121. The reversal of 982441029120 is 21920144289.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982441029121) 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 31 ways as a sum of consecutive naturals, for example, 139488319 + ... + 139495361.

Almost surely, 2^982441029120 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 982441029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612532541312).

982441029120 is an abundant number, since it is smaller than the sum of its proper divisors (2242624053504).

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

982441029120 is a wasteful number, since it uses less digits than its factorization.

982441029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7553 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 982441029120 in words is "nine hundred eighty-two billion, four hundred forty-one million, twenty-nine thousand, one hundred twenty".