221406214440 has 192 divisors, whose sum is σ = 682360796160. Its totient is φ = 57469765120.

The previous prime is 221406214423. The next prime is 221406214451. The reversal of 221406214440 is 44412604122.

221406214440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221406214398 and 221406214407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50628094 + ... + 50632466.

It is an arithmetic number, because the mean of its divisors is an integer number (3553962480).

Almost surely, 2^221406214440 is an apocalyptic number.

221406214440 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 221406214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341180398080).

221406214440 is an abundant number, since it is smaller than the sum of its proper divisors (460954581720).

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

221406214440 is a wasteful number, since it uses less digits than its factorization.

221406214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 221406214440 its reverse (44412604122), we get a palindrome (265818818562).

The spelling of 221406214440 in words is "two hundred twenty-one billion, four hundred six million, two hundred fourteen thousand, four hundred forty".