9803356430400 has 2016 divisors, whose sum is σ = 40649145788160. Its totient is φ = 2283282432000.

The previous prime is 9803356430383. The next prime is 9803356430449. The reversal of 9803356430400 is 40346533089.

9803356430400 is a `hidden beast` number, since 9 + 8 + 0 + 335 + 6 + 4 + 304 + 0 + 0 = 666.

It is a super-2 number, since 2×9803356430400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 31522046245 + ... + 31522046555.

It is an arithmetic number, because the mean of its divisors is an integer number (20163266760).

Almost surely, 2^{9803356430400} is an apocalyptic number.

9803356430400 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 9803356430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324572894080).

9803356430400 is an abundant number, since it is smaller than the sum of its proper divisors (30845789357760).

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

9803356430400 is a wasteful number, since it uses less digits than its factorization.

9803356430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 9803356430400 in words is "nine trillion, eight hundred three billion, three hundred fifty-six million, four hundred thirty thousand, four hundred".