14404040212240 has 320 divisors, whose sum is σ = 38877079707648. Its totient is φ = 4861288857600.

The previous prime is 14404040212223. The next prime is 14404040212249. The reversal of 14404040212240 is 4221204040441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14404040212199 and 14404040212208.

It is not an unprimeable number, because it can be changed into a prime (14404040212249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13970940525 + ... + 13970941555.

Almost surely, 2^{14404040212240} is an apocalyptic number.

14404040212240 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 14404040212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438539853824).

14404040212240 is an abundant number, since it is smaller than the sum of its proper divisors (24473039495408).

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

14404040212240 is a wasteful number, since it uses less digits than its factorization.

14404040212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 14404040212240 its reverse (4221204040441), we get a palindrome (18625244252681).

The spelling of 14404040212240 in words is "fourteen trillion, four hundred four billion, forty million, two hundred twelve thousand, two hundred forty".