992431440000 has 4480 divisors, whose sum is σ = 5266027831680. Its totient is φ = 179159040000.

The previous prime is 992431439981. The next prime is 992431440001. The reversal of 992431440000 is 44134299.

992431440000 is a `hidden beast` number, since 9 + 9 + 243 + 1 + 4 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (992431440001) by changing a digit.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 58378319992 + ... + 58378320008.

It is an arithmetic number, because the mean of its divisors is an integer number (1175452641).

Almost surely, 2^992431440000 is an apocalyptic number.

992431440000 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 992431440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633013915840).

992431440000 is an abundant number, since it is smaller than the sum of its proper divisors (4273596391680).

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

992431440000 is a wasteful number, since it uses less digits than its factorization.

992431440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 992431440000 its reverse (44134299), we get a palindrome (992475574299).

The spelling of 992431440000 in words is "nine hundred ninety-two billion, four hundred thirty-one million, four hundred forty thousand".