9845920490400 has 1728 divisors, whose sum is σ = 39122296012800. Its totient is φ = 2319363072000.

The previous prime is 9845920490353. The next prime is 9845920490453. The reversal of 9845920490400 is 40940295489.

9845920490400 is a `hidden beast` number, since 9 + 8 + 4 + 592 + 0 + 4 + 9 + 0 + 40 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 20555157361 + ... + 20555157839.

It is an arithmetic number, because the mean of its divisors is an integer number (22640217600).

Almost surely, 2^{9845920490400} is an apocalyptic number.

9845920490400 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 9845920490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561148006400).

9845920490400 is an abundant number, since it is smaller than the sum of its proper divisors (29276375522400).

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

9845920490400 is a wasteful number, since it uses less digits than its factorization.

9845920490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 9845920490400 in words is "nine trillion, eight hundred forty-five billion, nine hundred twenty million, four hundred ninety thousand, four hundred".