13424400224400 has 360 divisors, whose sum is σ = 47380062329152. Its totient is φ = 3246655104000.

The previous prime is 13424400224381. The next prime is 13424400224401. The reversal of 13424400224400 is 442200442431.

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 (13424400224401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61019397 + ... + 61239003.

Almost surely, 2^{13424400224400} is an apocalyptic number.

13424400224400 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 13424400224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690031164576).

13424400224400 is an abundant number, since it is smaller than the sum of its proper divisors (33955662104752).

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

13424400224400 is a wasteful number, since it uses less digits than its factorization.

13424400224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220071 (or 220049 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 13424400224400 its reverse (442200442431), we get a palindrome (13866600666831).

The spelling of 13424400224400 in words is "thirteen trillion, four hundred twenty-four billion, four hundred million, two hundred twenty-four thousand, four hundred".