9838761422400 has 315 divisors, whose sum is σ = 36168963264291. Its totient is φ = 2623368591360.

The previous prime is 9838761422389. The next prime is 9838761422407. The reversal of 9838761422400 is 42241678389.

The square root of 9838761422400 is 3136680.

It is a perfect power (a square), and thus also a powerful number.

9838761422400 is a `hidden beast` number, since 9 + 8 + 387 + 6 + 14 + 2 + 240 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2032951265856 + 7805810156544 = 1425816^2 + 2793888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9838761422407) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1129200444 + ... + 1129209156.

Almost surely, 2^{9838761422400} is an apocalyptic number.

9838761422400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9838761422400 is the 3136680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9838761422400

9838761422400 is an abundant number, since it is smaller than the sum of its proper divisors (26330201841891).

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

9838761422400 is an frugal number, since it uses more digits than its factorization.

9838761422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17460 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 9838761422400 in words is "nine trillion, eight hundred thirty-eight billion, seven hundred sixty-one million, four hundred twenty-two thousand, four hundred".