221201403540 has 192 divisors, whose sum is σ = 670703846400. Its totient is φ = 54148792320.

The previous prime is 221201403523. The next prime is 221201403569. The reversal of 221201403540 is 45304102122.

221201403540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221201403540.

It is a congruent number.

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, 128529880 + ... + 128531600.

It is an arithmetic number, because the mean of its divisors is an integer number (3493249200).

Almost surely, 2^221201403540 is an apocalyptic number.

221201403540 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 221201403540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335351923200).

221201403540 is an abundant number, since it is smaller than the sum of its proper divisors (449502442860).

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

221201403540 is a wasteful number, since it uses less digits than its factorization.

221201403540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 221201403540 its reverse (45304102122), we get a palindrome (266505505662).

The spelling of 221201403540 in words is "two hundred twenty-one billion, two hundred one million, four hundred three thousand, five hundred forty".