221350489440 has 192 divisors, whose sum is σ = 734254295040. Its totient is φ = 55897067520.

The previous prime is 221350489369. The next prime is 221350489447. The reversal of 221350489440 is 44984053122.

It is a happy number.

It is a Cunningham number, because it is equal to 470479²-1.

It is a junction number, because it is equal to n+sod(n) for n = 221350489392 and 221350489401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221350489447) 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, 37635300 + ... + 37641180.

It is an arithmetic number, because the mean of its divisors is an integer number (3824241120).

Almost surely, 2^221350489440 is an apocalyptic number.

221350489440 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 221350489440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367127147520).

221350489440 is an abundant number, since it is smaller than the sum of its proper divisors (512903805600).

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

221350489440 is a wasteful number, since it uses less digits than its factorization.

221350489440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10045 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 221350489440 in words is "two hundred twenty-one billion, three hundred fifty million, four hundred eighty-nine thousand, four hundred forty".