9321340910400 has 1008 divisors, whose sum is σ = 36277783948224. Its totient is φ = 2260863221760.

The previous prime is 9321340910369. The next prime is 9321340910407. The reversal of 9321340910400 is 40190431239.

9321340910400 is a `hidden beast` number, since 9 + 32 + 134 + 0 + 91 + 0 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9321340910407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 869279439 + ... + 869290161.

It is an arithmetic number, because the mean of its divisors is an integer number (35989865028).

Almost surely, 2^{9321340910400} is an apocalyptic number.

9321340910400 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 9321340910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138891974112).

9321340910400 is an abundant number, since it is smaller than the sum of its proper divisors (26956443037824).

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

9321340910400 is a wasteful number, since it uses less digits than its factorization.

9321340910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 9321340910400 in words is "nine trillion, three hundred twenty-one billion, three hundred forty million, nine hundred ten thousand, four hundred".