9638938214400 has 1224 divisors, whose sum is σ = 36920519678560. Its totient is φ = 2211132211200.

The previous prime is 9638938214377. The next prime is 9638938214443. The reversal of 9638938214400 is 44128398369.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11300044374 + ... + 11300045226.

Almost surely, 2^{9638938214400} 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 9638938214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18460259839280).

9638938214400 is an abundant number, since it is smaller than the sum of its proper divisors (27281581464160).

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

9638938214400 is a wasteful number, since it uses less digits than its factorization.

9638938214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 9638938214400 in words is "nine trillion, six hundred thirty-eight billion, nine hundred thirty-eight million, two hundred fourteen thousand, four hundred".