13444034000 has 160 divisors (see below), whose sum is σ = 33245372160. Its totient is φ = 5256768000.

The previous prime is 13444033987. The next prime is 13444034057. The reversal of 13444034000 is 43044431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32085791 + ... + 32086209.

It is an arithmetic number, because the mean of its divisors is an integer number (207783576).

Almost surely, 2^13444034000 is an apocalyptic number.

13444034000 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 13444034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622686080).

13444034000 is an abundant number, since it is smaller than the sum of its proper divisors (19801338160).

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

13444034000 is a wasteful number, since it uses less digits than its factorization.

13444034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 13444034000 its reverse (43044431), we get a palindrome (13487078431).

The spelling of 13444034000 in words is "thirteen billion, four hundred forty-four million, thirty-four thousand".