9992400000 has 384 divisors, whose sum is σ = 36239555520. Its totient is φ = 2419200000.

The previous prime is 9992399999. The next prime is 9992400007. The reversal of 9992400000 is 42999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (9992400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13199622 + ... + 13200378.

Almost surely, 2^9992400000 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 9992400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119777760).

9992400000 is an abundant number, since it is smaller than the sum of its proper divisors (26247155520).

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

9992400000 is an equidigital number, since it uses as much as digits as its factorization.

9992400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9992400000 is about 99961.9927772551. The cubic root of 9992400000 is about 2153.8887615852. Note that the first 3 decimals are identical.

Adding to 9992400000 its reverse (42999), we get a palindrome (9992442999).

The spelling of 9992400000 in words is "nine billion, nine hundred ninety-two million, four hundred thousand".