4441132214240 has 96 divisors (see below), whose sum is σ = 10715807662560. Its totient is φ = 1738847617024.

The previous prime is 4441132214213. The next prime is 4441132214261. The reversal of 4441132214240 is 424122311444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4441132214197 and 4441132214206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189952 + ... + 3209088.

It is an arithmetic number, because the mean of its divisors is an integer number (111622996485).

Almost surely, 2^{4441132214240} is an apocalyptic number.

4441132214240 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 4441132214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357903831280).

4441132214240 is an abundant number, since it is smaller than the sum of its proper divisors (6274675448320).

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

4441132214240 is a wasteful number, since it uses less digits than its factorization.

4441132214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019444 (or 2019436 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4441132214240 its reverse (424122311444), we get a palindrome (4865254525684).

The spelling of 4441132214240 in words is "four trillion, four hundred forty-one billion, one hundred thirty-two million, two hundred fourteen thousand, two hundred forty".