221143021440 has 256 divisors, whose sum is σ = 772292102400. Its totient is φ = 53379153920.

The previous prime is 221143021373. The next prime is 221143021447. The reversal of 221143021440 is 44120341122.

It is a super-2 number, since 2×221143021440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221143021440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221143021447) 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, 4898491 + ... + 4943429.

It is an arithmetic number, because the mean of its divisors is an integer number (3016766025).

Almost surely, 2^221143021440 is an apocalyptic number.

221143021440 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 221143021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386146051200).

221143021440 is an abundant number, since it is smaller than the sum of its proper divisors (551149080960).

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

221143021440 is a wasteful number, since it uses less digits than its factorization.

221143021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45205 (or 45193 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221143021440 its reverse (44120341122), we get a palindrome (265263362562).

The spelling of 221143021440 in words is "two hundred twenty-one billion, one hundred forty-three million, twenty-one thousand, four hundred forty".