13425442400 has 36 divisors (see below), whose sum is σ = 32774863212. Its totient is φ = 5370176640.

The previous prime is 13425442369. The next prime is 13425442409. The reversal of 13425442400 is 424452431.

13425442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13425442409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8390102 + ... + 8391701.

It is an arithmetic number, because the mean of its divisors is an integer number (910412867).

Almost surely, 2^13425442400 is an apocalyptic number.

13425442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13425442400 is an abundant number, since it is smaller than the sum of its proper divisors (19349420812).

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

13425442400 is a wasteful number, since it uses less digits than its factorization.

13425442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16781823 (or 16781810 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 13425442400 its reverse (424452431), we get a palindrome (13849894831).

The spelling of 13425442400 in words is "thirteen billion, four hundred twenty-five million, four hundred forty-two thousand, four hundred".