10441123344 has 160 divisors (see below), whose sum is σ = 31297104000. Its totient is φ = 3328528896.

The previous prime is 10441123339. The next prime is 10441123349. The reversal of 10441123344 is 44332114401.

10441123344 is a `hidden beast` number, since 10 + 4 + 411 + 233 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10441123339) and next prime (10441123349).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10441123349) 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, 1336602 + ... + 1344390.

It is an arithmetic number, because the mean of its divisors is an integer number (195606900).

Almost surely, 2^10441123344 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 10441123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15648552000).

10441123344 is an abundant number, since it is smaller than the sum of its proper divisors (20855980656).

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

10441123344 is a wasteful number, since it uses less digits than its factorization.

10441123344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7942 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10441123344 its reverse (44332114401), we get a palindrome (54773237745).

The spelling of 10441123344 in words is "ten billion, four hundred forty-one million, one hundred twenty-three thousand, three hundred forty-four".