9812426400 has 864 divisors, whose sum is σ = 42177300480. Its totient is φ = 2194698240.

The previous prime is 9812426369. The next prime is 9812426417. The reversal of 9812426400 is 46242189.

9812426400 is a `hidden beast` number, since 9 + 8 + 1 + 2 + 4 + 2 + 640 + 0 = 666.

9812426400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77263137 + ... + 77263263.

It is an arithmetic number, because the mean of its divisors is an integer number (48816320).

Almost surely, 2^9812426400 is an apocalyptic number.

9812426400 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 9812426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21088650240).

9812426400 is an abundant number, since it is smaller than the sum of its proper divisors (32364874080).

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

9812426400 is a wasteful number, since it uses less digits than its factorization.

9812426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9812426400 is about 99057.6922808118. The cubic root of 9812426400 is about 2140.8790751825.

Adding to 9812426400 its reverse (46242189), we get a palindrome (9858668589).

The spelling of 9812426400 in words is "nine billion, eight hundred twelve million, four hundred twenty-six thousand, four hundred".