6441221440 has 112 divisors (see below), whose sum is σ = 15678375552. Its totient is φ = 2519668736.

The previous prime is 6441221419. The next prime is 6441221441. The reversal of 6441221440 is 441221446.

It is a junction number, because it is equal to n+sod(n) for n = 6441221399 and 6441221408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441221441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9955197 + ... + 9955843.

It is an arithmetic number, because the mean of its divisors is an integer number (139985496).

Almost surely, 2^6441221440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839187776).

6441221440 is an abundant number, since it is smaller than the sum of its proper divisors (9237154112).

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

6441221440 is a wasteful number, since it uses less digits than its factorization.

6441221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 6441221440 is about 80257.2204851377. The cubic root of 6441221440 is about 1860.6131096301.

Adding to 6441221440 its reverse (441221446), we get a palindrome (6882442886).

The spelling of 6441221440 in words is "six billion, four hundred forty-one million, two hundred twenty-one thousand, four hundred forty".