2441122445344 has 96 divisors (see below), whose sum is σ = 5287594152960. Its totient is φ = 1109307400960.

The previous prime is 2441122445341. The next prime is 2441122445353. The reversal of 2441122445344 is 4435442211442.

It is a junction number, because it is equal to n+sod(n) for n = 2441122445297 and 2441122445306.

It is not an unprimeable number, because it can be changed into a prime (2441122445341) 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, 302526942 + ... + 302535010.

It is an arithmetic number, because the mean of its divisors is an integer number (55079105760).

Almost surely, 2^{2441122445344} 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 2441122445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643797076480).

2441122445344 is an abundant number, since it is smaller than the sum of its proper divisors (2846471707616).

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

2441122445344 is an equidigital number, since it uses as much as digits as its factorization.

2441122445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15215 (or 15185 counting only the distinct ones).

The product of its digits is 491520, while the sum is 40.

Adding to 2441122445344 its reverse (4435442211442), we get a palindrome (6876564656786).

The spelling of 2441122445344 in words is "two trillion, four hundred forty-one billion, one hundred twenty-two million, four hundred forty-five thousand, three hundred forty-four".