992188439040 has 320 divisors, whose sum is σ = 3409907466240. Its totient is φ = 245323284480.

The previous prime is 992188439027. The next prime is 992188439063. The reversal of 992188439040 is 40934881299.

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

It is a super-2 number, since 2×992188439040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6785905 + ... + 6930575.

It is an arithmetic number, because the mean of its divisors is an integer number (10655960832).

Almost surely, 2^992188439040 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 992188439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704953733120).

992188439040 is an abundant number, since it is smaller than the sum of its proper divisors (2417719027200).

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

992188439040 is a wasteful number, since it uses less digits than its factorization.

992188439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144763 (or 144747 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 992188439040 in words is "nine hundred ninety-two billion, one hundred eighty-eight million, four hundred thirty-nine thousand, forty".