1340341434144 has 288 divisors, whose sum is σ = 4041341216640. Its totient is φ = 420491022336.

The previous prime is 1340341434143. The next prime is 1340341434151. The reversal of 1340341434144 is 4414341430431.

1340341434144 is a `hidden beast` number, since 1 + 3 + 40 + 3 + 41 + 434 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1340341434099 and 1340341434108.

It is not an unprimeable number, because it can be changed into a prime (1340341434143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714086134 + ... + 714088010.

It is an arithmetic number, because the mean of its divisors is an integer number (14032434780).

Almost surely, 2^{1340341434144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340341434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020670608320).

1340341434144 is an abundant number, since it is smaller than the sum of its proper divisors (2700999782496).

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

1340341434144 is a wasteful number, since it uses less digits than its factorization.

1340341434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1340341434144 its reverse (4414341430431), we get a palindrome (5754682864575).

The spelling of 1340341434144 in words is "one trillion, three hundred forty billion, three hundred forty-one million, four hundred thirty-four thousand, one hundred forty-four".