9820621440 has 896 divisors, whose sum is σ = 41954411520. Its totient is φ = 2149908480.

The previous prime is 9820621367. The next prime is 9820621441. The reversal of 9820621440 is 441260289.

9820621440 is a `hidden beast` number, since 9 + 8 + 20 + 621 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9820621395 and 9820621404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820621441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101243472 + ... + 101243568.

It is an arithmetic number, because the mean of its divisors is an integer number (46824120).

Almost surely, 2^9820621440 is an apocalyptic number.

9820621440 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 9820621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977205760).

9820621440 is an abundant number, since it is smaller than the sum of its proper divisors (32133790080).

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

9820621440 is an equidigital number, since it uses as much as digits as its factorization.

9820621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9820621440 is about 99099.0486331731. The cubic root of 9820621440 is about 2141.4749083628.

The spelling of 9820621440 in words is "nine billion, eight hundred twenty million, six hundred twenty-one thousand, four hundred forty".