13444343400 has 192 divisors, whose sum is σ = 42258902400. Its totient is φ = 3535488000.

The previous prime is 13444343377. The next prime is 13444343401. The reversal of 13444343400 is 434344431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13444343401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20339070 + ... + 20339730.

It is an arithmetic number, because the mean of its divisors is an integer number (220098450).

Almost surely, 2^13444343400 is an apocalyptic number.

13444343400 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 13444343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129451200).

13444343400 is an abundant number, since it is smaller than the sum of its proper divisors (28814559000).

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

13444343400 is a wasteful number, since it uses less digits than its factorization.

13444343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 13444343400 its reverse (434344431), we get a palindrome (13878687831).

The spelling of 13444343400 in words is "thirteen billion, four hundred forty-four million, three hundred forty-three thousand, four hundred".