13442422240 has 144 divisors (see below), whose sum is σ = 36412640208. Its totient is φ = 4671234048.

The previous prime is 13442422219. The next prime is 13442422247. The reversal of 13442422240 is 4222424431.

It is a junction number, because it is equal to n+sod(n) for n = 13442422199 and 13442422208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442422247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445059 + ... + 474301.

It is an arithmetic number, because the mean of its divisors is an integer number (252865557).

Almost surely, 2^13442422240 is an apocalyptic number.

13442422240 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 13442422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206320104).

13442422240 is an abundant number, since it is smaller than the sum of its proper divisors (22970217968).

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

13442422240 is a wasteful number, since it uses less digits than its factorization.

13442422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29301 (or 29280 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 13442422240 its reverse (4222424431), we get a palindrome (17664846671).

The spelling of 13442422240 in words is "thirteen billion, four hundred forty-two million, four hundred twenty-two thousand, two hundred forty".