13214432000 has 576 divisors, whose sum is σ = 42610434048. Its totient is φ = 3962880000.

The previous prime is 13214431991. The next prime is 13214432047. The reversal of 13214432000 is 23441231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76383914 + ... + 76384086.

It is an arithmetic number, because the mean of its divisors is an integer number (73976448).

Almost surely, 2^13214432000 is an apocalyptic number.

13214432000 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 13214432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21305217024).

13214432000 is an abundant number, since it is smaller than the sum of its proper divisors (29396002048).

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

13214432000 is a wasteful number, since it uses less digits than its factorization.

13214432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

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

Adding to 13214432000 its reverse (23441231), we get a palindrome (13237873231).

The spelling of 13214432000 in words is "thirteen billion, two hundred fourteen million, four hundred thirty-two thousand".