984085079040 has 1056 divisors, whose sum is σ = 4102993699200. Its totient is φ = 223015403520.

The previous prime is 984085079023. The next prime is 984085079041. The reversal of 984085079040 is 40970580489.

984085079040 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 8 + 507 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (984085079041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 887362006 + ... + 887363114.

It is an arithmetic number, because the mean of its divisors is an integer number (3885410700).

Almost surely, 2^984085079040 is an apocalyptic number.

984085079040 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 984085079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051496849600).

984085079040 is an abundant number, since it is smaller than the sum of its proper divisors (3118908620160).

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

984085079040 is a wasteful number, since it uses less digits than its factorization.

984085079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 984085079040 in words is "nine hundred eighty-four billion, eighty-five million, seventy-nine thousand, forty".