9938400000 has 432 divisors, whose sum is σ = 34202873376. Its totient is φ = 2560000000.

The previous prime is 9938399951. The next prime is 9938400011. The reversal of 9938400000 is 48399.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98399950 + ... + 98400050.

It is an arithmetic number, because the mean of its divisors is an integer number (79173318).

Almost surely, 2^9938400000 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 9938400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17101436688).

9938400000 is an abundant number, since it is smaller than the sum of its proper divisors (24264473376).

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

9938400000 is an equidigital number, since it uses as much as digits as its factorization.

9938400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9938400000 is about 99691.5242134455. The cubic root of 9938400000 is about 2150.0018027748.

Adding to 9938400000 its reverse (48399), we get a palindrome (9938448399).

The spelling of 9938400000 in words is "nine billion, nine hundred thirty-eight million, four hundred thousand".