13444553400 has 192 divisors, whose sum is σ = 43588281600. Its totient is φ = 3421608960.

The previous prime is 13444553389. The next prime is 13444553413. The reversal of 13444553400 is 435544431.

It is a happy number.

13444553400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13444553400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8513811 + ... + 8515389.

It is an arithmetic number, because the mean of its divisors is an integer number (227022300).

Almost surely, 2^13444553400 is an apocalyptic number.

13444553400 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 13444553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794140800).

13444553400 is an abundant number, since it is smaller than the sum of its proper divisors (30143728200).

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

13444553400 is a wasteful number, since it uses less digits than its factorization.

13444553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 13444553400 in words is "thirteen billion, four hundred forty-four million, five hundred fifty-three thousand, four hundred".