992319842400 has 576 divisors, whose sum is σ = 3488497346880. Its totient is φ = 244474675200.

The previous prime is 992319842387. The next prime is 992319842401. The reversal of 992319842400 is 4248913299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992319842401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157084042 + ... + 157090358.

It is an arithmetic number, because the mean of its divisors is an integer number (6056419005).

Almost surely, 2^992319842400 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 992319842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744248673440).

992319842400 is an abundant number, since it is smaller than the sum of its proper divisors (2496177504480).

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

992319842400 is a wasteful number, since it uses less digits than its factorization.

992319842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 992319842400 in words is "nine hundred ninety-two billion, three hundred nineteen million, eight hundred forty-two thousand, four hundred".