13014304400 has 60 divisors (see below), whose sum is σ = 31357306992. Its totient is φ = 5190664320.

The previous prime is 13014304367. The next prime is 13014304417. The reversal of 13014304400 is 440341031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 91919 + ... + 185681.

Almost surely, 2^13014304400 is an apocalyptic number.

13014304400 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 13014304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678653496).

13014304400 is an abundant number, since it is smaller than the sum of its proper divisors (18343002592).

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

13014304400 is a wasteful number, since it uses less digits than its factorization.

13014304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94128 (or 94117 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13014304400 its reverse (440341031), we get a palindrome (13454645431).

The spelling of 13014304400 in words is "thirteen billion, fourteen million, three hundred four thousand, four hundred".