13444100442 has 64 divisors (see below), whose sum is σ = 30751618560. Its totient is φ = 4350532032.

The previous prime is 13444100437. The next prime is 13444100443. The reversal of 13444100442 is 24400144431.

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 (13444100443) 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, 917808 + ... + 932340.

It is an arithmetic number, because the mean of its divisors is an integer number (480494040).

Almost surely, 2^13444100442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13444100442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375809280).

13444100442 is an abundant number, since it is smaller than the sum of its proper divisors (17307518118).

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

13444100442 is a wasteful number, since it uses less digits than its factorization.

13444100442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15044 (or 15038 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13444100442 its reverse (24400144431), we get a palindrome (37844244873).

The spelling of 13444100442 in words is "thirteen billion, four hundred forty-four million, one hundred thousand, four hundred forty-two".