221647657024040 has 256 divisors, whose sum is σ = 575028084960000. Its totient is φ = 76203132715008.

The previous prime is 221647657023943. The next prime is 221647657024093. The reversal of 221647657024040 is 40420756746122.

It is a self number, because there is not a number n which added to its sum of digits gives 221647657024040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3304539944 + ... + 3304607016.

It is an arithmetic number, because the mean of its divisors is an integer number (2246203456875).

Almost surely, 2^{221647657024040} is an apocalyptic number.

221647657024040 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 221647657024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287514042480000).

221647657024040 is an abundant number, since it is smaller than the sum of its proper divisors (353380427935960).

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

221647657024040 is a wasteful number, since it uses less digits than its factorization.

221647657024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72844 (or 72840 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 50.

The spelling of 221647657024040 in words is "two hundred twenty-one trillion, six hundred forty-seven billion, six hundred fifty-seven million, twenty-four thousand, forty".