13200400224 has 240 divisors, whose sum is σ = 42475965840. Its totient is φ = 3988362240.

The previous prime is 13200400141. The next prime is 13200400237. The reversal of 13200400224 is 42200400231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13200400197 and 13200400206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18617982 + ... + 18618690.

It is an arithmetic number, because the mean of its divisors is an integer number (176983191).

Almost surely, 2^13200400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21237982920).

13200400224 is an abundant number, since it is smaller than the sum of its proper divisors (29275565616).

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

13200400224 is a wasteful number, since it uses less digits than its factorization.

13200400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13200400224 its reverse (42200400231), we get a palindrome (55400800455).

The spelling of 13200400224 in words is "thirteen billion, two hundred million, four hundred thousand, two hundred twenty-four".