9361305122400 has 3456 divisors, whose sum is σ = 46676502512640. Its totient is φ = 1704001536000.

The previous prime is 9361305122291. The next prime is 9361305122401. The reversal of 9361305122400 is 42215031639.

9361305122400 is a `hidden beast` number, since 9 + 3 + 6 + 130 + 512 + 2 + 4 + 0 + 0 = 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 (9361305122401) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10923342772 + ... + 10923343628.

It is an arithmetic number, because the mean of its divisors is an integer number (13505932440).

Almost surely, 2^{9361305122400} is an apocalyptic number.

9361305122400 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 9361305122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23338251256320).

9361305122400 is an abundant number, since it is smaller than the sum of its proper divisors (37315197390240).

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

9361305122400 is a wasteful number, since it uses less digits than its factorization.

9361305122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 9361305122400 in words is "nine trillion, three hundred sixty-one billion, three hundred five million, one hundred twenty-two thousand, four hundred".