9408326121000 has 1024 divisors, whose sum is σ = 35595915264000. Its totient is φ = 2290032000000.

The previous prime is 9408326120993. The next prime is 9408326121041. The reversal of 9408326121000 is 1216238049.

9408326121000 is a `hidden beast` number, since 9 + 4 + 0 + 8 + 32 + 612 + 1 + 0 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3991651822 + ... + 3991654178.

It is an arithmetic number, because the mean of its divisors is an integer number (34761636000).

Almost surely, 2^{9408326121000} is an apocalyptic number.

9408326121000 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 9408326121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17797957632000).

9408326121000 is an abundant number, since it is smaller than the sum of its proper divisors (26187589143000).

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

9408326121000 is a wasteful number, since it uses less digits than its factorization.

9408326121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 9408326121000 in words is "nine trillion, four hundred eight billion, three hundred twenty-six million, one hundred twenty-one thousand".