10221603840 has 660 divisors, whose sum is σ = 42693312816. Its totient is φ = 2331721728.

The previous prime is 10221603829. The next prime is 10221603841. The reversal of 10221603840 is 4830612201.

10221603840 is a `hidden beast` number, since 1 + 0 + 221 + 60 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10221603841) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321029 + ... + 20321531.

Almost surely, 2^10221603840 is an apocalyptic number.

10221603840 is a gapful number since it is divisible by the number (10) 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 10221603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346656408).

10221603840 is an abundant number, since it is smaller than the sum of its proper divisors (32471708976).

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

10221603840 is an equidigital number, since it uses as much as digits as its factorization.

10221603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10221603840 in words is "ten billion, two hundred twenty-one million, six hundred three thousand, eight hundred forty".