221640424164640 has 192 divisors, whose sum is σ = 564947012931840. Its totient is φ = 81685280378880.

The previous prime is 221640424164637. The next prime is 221640424164661. The reversal of 221640424164640 is 46461424046122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764693837 + ... + 2764774003.

It is an arithmetic number, because the mean of its divisors is an integer number (2942432359020).

Almost surely, 2^{221640424164640} is an apocalyptic number.

221640424164640 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 221640424164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282473506465920).

221640424164640 is an abundant number, since it is smaller than the sum of its proper divisors (343306588767200).

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

221640424164640 is a wasteful number, since it uses less digits than its factorization.

221640424164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82635 (or 82627 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 46.

The spelling of 221640424164640 in words is "two hundred twenty-one trillion, six hundred forty billion, four hundred twenty-four million, one hundred sixty-four thousand, six hundred forty".