13442144000 has 144 divisors (see below), whose sum is σ = 34268314080. Its totient is φ = 5251276800.

The previous prime is 13442143999. The next prime is 13442144021. The reversal of 13442144000 is 44124431.

It is a happy number.

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, 1371116 + ... + 1380884.

Almost surely, 2^13442144000 is an apocalyptic number.

13442144000 is a gapful number since it is divisible by the number (10) 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 13442144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134157040).

13442144000 is an abundant number, since it is smaller than the sum of its proper divisors (20826170080).

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

13442144000 is an frugal number, since it uses more digits than its factorization.

13442144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9819 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13442144000 its reverse (44124431), we get a palindrome (13486268431).

The spelling of 13442144000 in words is "thirteen billion, four hundred forty-two million, one hundred forty-four thousand".