9438096056400 has 1200 divisors, whose sum is σ = 38310998742720. Its totient is φ = 2205049651200.

The previous prime is 9438096056393. The next prime is 9438096056413. The reversal of 9438096056400 is 46506908349.

9438096056400 is a `hidden beast` number, since 94 + 380 + 96 + 0 + 56 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 1410984256 + ... + 1410990944.

Almost surely, 2^{9438096056400} is an apocalyptic number.

9438096056400 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 9438096056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155499371360).

9438096056400 is an abundant number, since it is smaller than the sum of its proper divisors (28872902686320).

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

9438096056400 is a wasteful number, since it uses less digits than its factorization.

9438096056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 9438096056400 in words is "nine trillion, four hundred thirty-eight billion, ninety-six million, fifty-six thousand, four hundred".