221410273728 has 224 divisors, whose sum is σ = 677444871168. Its totient is φ = 62512128000.

The previous prime is 221410273723. The next prime is 221410273751. The reversal of 221410273728 is 827372014122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221410273723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87825108 + ... + 87827628.

Almost surely, 2^221410273728 is an apocalyptic number.

221410273728 is a gapful number since it is divisible by the number (28) 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 221410273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338722435584).

221410273728 is an abundant number, since it is smaller than the sum of its proper divisors (456034597440).

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

221410273728 is a wasteful number, since it uses less digits than its factorization.

221410273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 221410273728 in words is "two hundred twenty-one billion, four hundred ten million, two hundred seventy-three thousand, seven hundred twenty-eight".