221095140728 has 384 divisors, whose sum is σ = 555394976640. Its totient is φ = 80654745600.

The previous prime is 221095140727. The next prime is 221095140731. The reversal of 221095140728 is 827041590122.

It is a super-2 number, since 2×221095140728² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221095140727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408249226 + ... + 1408249382.

It is an arithmetic number, because the mean of its divisors is an integer number (1446341085).

Almost surely, 2^221095140728 is an apocalyptic number.

221095140728 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 221095140728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277697488320).

221095140728 is an abundant number, since it is smaller than the sum of its proper divisors (334299835912).

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

221095140728 is a wasteful number, since it uses less digits than its factorization.

221095140728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 221095140728 in words is "two hundred twenty-one billion, ninety-five million, one hundred forty thousand, seven hundred twenty-eight".