221821162295040 has 6048 divisors, whose sum is σ = 1050514525767168. Its totient is φ = 43868882534400.

The previous prime is 221821162295017. The next prime is 221821162295113. The reversal of 221821162295040 is 40592261128122.

221821162295040 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 2 + 11 + 622 + 9 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2073094974667 + ... + 2073094974773.

It is an arithmetic number, because the mean of its divisors is an integer number (173696184816).

Almost surely, 2^{221821162295040} is an apocalyptic number.

221821162295040 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 221821162295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525257262883584).

221821162295040 is an abundant number, since it is smaller than the sum of its proper divisors (828693363472128).

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

221821162295040 is a wasteful number, since it uses less digits than its factorization.

221821162295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 221821162295040 in words is "two hundred twenty-one trillion, eight hundred twenty-one billion, one hundred sixty-two million, two hundred ninety-five thousand, forty".