13224414400000 has 120 divisors (see below), whose sum is σ = 33026639987880. Its totient is φ = 5289765120000.

The previous prime is 13224414399971. The next prime is 13224414400063. The reversal of 13224414400000 is 441442231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2532630 + ... + 5732629.

It is an arithmetic number, because the mean of its divisors is an integer number (275221999899).

Almost surely, 2^{13224414400000} is an apocalyptic number.

13224414400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13224414400000 is an abundant number, since it is smaller than the sum of its proper divisors (19802225587880).

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

13224414400000 is an frugal number, since it uses more digits than its factorization.

13224414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265302 (or 8265266 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 13224414400000 its reverse (441442231), we get a palindrome (13224855842231).

The spelling of 13224414400000 in words is "thirteen trillion, two hundred twenty-four billion, four hundred fourteen million, four hundred thousand".