221008335840 has 384 divisors, whose sum is σ = 808894356480. Its totient is φ = 56252123136.

The previous prime is 221008335811. The next prime is 221008335841. The reversal of 221008335840 is 48533800122.

221008335840 is a `hidden beast` number, since 221 + 0 + 0 + 83 + 358 + 4 + 0 = 666.

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 = 221008335795 and 221008335804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221008335841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51963154 + ... + 51967406.

It is an arithmetic number, because the mean of its divisors is an integer number (2106495720).

Almost surely, 2^221008335840 is an apocalyptic number.

221008335840 is a gapful number since it is divisible by the number (20) 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 221008335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404447178240).

221008335840 is an abundant number, since it is smaller than the sum of its proper divisors (587886020640).

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

221008335840 is a wasteful number, since it uses less digits than its factorization.

221008335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 221008335840 in words is "two hundred twenty-one billion, eight million, three hundred thirty-five thousand, eight hundred forty".