9934438071600 has 1440 divisors, whose sum is σ = 42752339675136. Its totient is φ = 2167923916800.

The previous prime is 9934438071599. The next prime is 9934438071619. The reversal of 9934438071600 is 61708344399.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1311127012 + ... + 1311134588.

Almost surely, 2^{9934438071600} is an apocalyptic number.

9934438071600 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 9934438071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21376169837568).

9934438071600 is an abundant number, since it is smaller than the sum of its proper divisors (32817901603536).

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

9934438071600 is a wasteful number, since it uses less digits than its factorization.

9934438071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9934438071600 in words is "nine trillion, nine hundred thirty-four billion, four hundred thirty-eight million, seventy-one thousand, six hundred".