4421332013440 has 128 divisors (see below), whose sum is σ = 10597178289600. Its totient is φ = 1763947487232.

The previous prime is 4421332013437. The next prime is 4421332013489. The reversal of 4421332013440 is 443102331244.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 730433454 + ... + 730439506.

Almost surely, 2^{4421332013440} is an apocalyptic number.

4421332013440 is a gapful number since it is divisible by the number (40) 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 4421332013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298589144800).

4421332013440 is an abundant number, since it is smaller than the sum of its proper divisors (6175846276160).

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

4421332013440 is a wasteful number, since it uses less digits than its factorization.

4421332013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4421332013440 its reverse (443102331244), we get a palindrome (4864434344684).

The spelling of 4421332013440 in words is "four trillion, four hundred twenty-one billion, three hundred thirty-two million, thirteen thousand, four hundred forty".