982112040 has 320 divisors, whose sum is σ = 4063973760. Its totient is φ = 207152640.

The previous prime is 982111993. The next prime is 982112111. The reversal of 982112040 is 40211289.

982112040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×982112040² = 1929088118225923200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 982111995 and 982112013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293175 + ... + 296505.

It is an arithmetic number, because the mean of its divisors is an integer number (12699918).

Almost surely, 2^982112040 is an apocalyptic number.

982112040 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 982112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031986880).

982112040 is an abundant number, since it is smaller than the sum of its proper divisors (3081861720).

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

982112040 is a wasteful number, since it uses less digits than its factorization.

982112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 982112040 is about 31338.6668510324. Note that the first 3 decimals coincide. The cubic root of 982112040 is about 994.0014358430.

The spelling of 982112040 in words is "nine hundred eighty-two million, one hundred twelve thousand, forty".