13440414402342 has 96 divisors (see below), whose sum is σ = 30701294956800. Its totient is φ = 4243224318144.

The previous prime is 13440414402301. The next prime is 13440414402391. The reversal of 13440414402342 is 24320441404431.

13440414402342 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 414 + 4 + 0 + 234 + 2 = 666.

It is a super-2 number, since 2×13440414402342² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13440414402297 and 13440414402306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13915423 + ... + 14849909.

It is an arithmetic number, because the mean of its divisors is an integer number (319805155800).

Almost surely, 2^{13440414402342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440414402342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350647478400).

13440414402342 is an abundant number, since it is smaller than the sum of its proper divisors (17260880554458).

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

13440414402342 is a wasteful number, since it uses less digits than its factorization.

13440414402342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935050 (or 935047 counting only the distinct ones).

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

Adding to 13440414402342 its reverse (24320441404431), we get a palindrome (37760855806773).

The spelling of 13440414402342 in words is "thirteen trillion, four hundred forty billion, four hundred fourteen million, four hundred two thousand, three hundred forty-two".