13425414400 has 108 divisors (see below), whose sum is σ = 33354366052. Its totient is φ = 5350072320.

The previous prime is 13425414397. The next prime is 13425414407. The reversal of 13425414400 is 441452431.

It can be written as a sum of positive squares in 6 ways, for example, as 32444416 + 13392969984 = 5696^2 + 115728^2 .

It is not an unprimeable number, because it can be changed into a prime (13425414407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1769014 + ... + 1776586.

Almost surely, 2^13425414400 is an apocalyptic number.

13425414400 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 13425414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677183026).

13425414400 is an abundant number, since it is smaller than the sum of its proper divisors (19928951652).

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

13425414400 is an equidigital number, since it uses as much as digits as its factorization.

13425414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7857 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 13425414400 its reverse (441452431), we get a palindrome (13866866831).

The spelling of 13425414400 in words is "thirteen billion, four hundred twenty-five million, four hundred fourteen thousand, four hundred".