13424144400 has 180 divisors, whose sum is σ = 46793580912. Its totient is φ = 3563784960.

The previous prime is 13424144311. The next prime is 13424144443. The reversal of 13424144400 is 444142431.

13424144400 is a `hidden beast` number, since 13 + 4 + 241 + 4 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 808987 + ... + 825413.

Almost surely, 2^13424144400 is an apocalyptic number.

13424144400 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 13424144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23396790456).

13424144400 is an abundant number, since it is smaller than the sum of its proper divisors (33369436512).

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

13424144400 is a wasteful number, since it uses less digits than its factorization.

13424144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16678 (or 16664 counting only the distinct ones).

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

Adding to 13424144400 its reverse (444142431), we get a palindrome (13868286831).

The spelling of 13424144400 in words is "thirteen billion, four hundred twenty-four million, one hundred forty-four thousand, four hundred".