9490357958400 has 864 divisors, whose sum is σ = 38278506685440. Its totient is φ = 2300637081600.

The previous prime is 9490357958359. The next prime is 9490357958401. The reversal of 9490357958400 is 48597530949.

9490357958400 is a `hidden beast` number, since 9 + 4 + 9 + 0 + 3 + 579 + 58 + 4 + 0 + 0 = 666.

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

It is a super-2 number, since 2×9490357958400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9490357958401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 229976169 + ... + 230017431.

Almost surely, 2^{9490357958400} is an apocalyptic number.

9490357958400 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 9490357958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139253342720).

9490357958400 is an abundant number, since it is smaller than the sum of its proper divisors (28788148727040).

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

9490357958400 is a wasteful number, since it uses less digits than its factorization.

9490357958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41331 (or 41284 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 9490357958400 in words is "nine trillion, four hundred ninety billion, three hundred fifty-seven million, nine hundred fifty-eight thousand, four hundred".