13440304404414 has 192 divisors, whose sum is σ = 31711224729600. Its totient is φ = 4104001036800.

The previous prime is 13440304404413. The next prime is 13440304404431. The reversal of 13440304404414 is 41440440304431.

13440304404414 is a `hidden beast` number, since 1 + 344 + 0 + 304 + 4 + 0 + 4 + 4 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440304404413) 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 95 ways as a sum of consecutive naturals, for example, 205624362 + ... + 205689714.

It is an arithmetic number, because the mean of its divisors is an integer number (165162628800).

Almost surely, 2^{13440304404414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440304404414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855612364800).

13440304404414 is an abundant number, since it is smaller than the sum of its proper divisors (18270920325186).

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

13440304404414 is a wasteful number, since it uses less digits than its factorization.

13440304404414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65671 (or 65668 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 13440304404414 its reverse (41440440304431), we get a palindrome (54880744708845).

The spelling of 13440304404414 in words is "thirteen trillion, four hundred forty billion, three hundred four million, four hundred four thousand, four hundred fourteen".