1340131405144 has 64 divisors (see below), whose sum is σ = 2935072143360. Its totient is φ = 561688483200.

The previous prime is 1340131405121. The next prime is 1340131405201. The reversal of 1340131405144 is 4415041310431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3228549 + ... + 3619915.

It is an arithmetic number, because the mean of its divisors is an integer number (45860502240).

Almost surely, 2^{1340131405144} is an apocalyptic number.

1340131405144 is a gapful number since it is divisible by the number (14) 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 1340131405144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467536071680).

1340131405144 is an abundant number, since it is smaller than the sum of its proper divisors (1594940738216).

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

1340131405144 is a wasteful number, since it uses less digits than its factorization.

1340131405144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392728 (or 392724 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 1340131405144 its reverse (4415041310431), we get a palindrome (5755172715575).

The spelling of 1340131405144 in words is "one trillion, three hundred forty billion, one hundred thirty-one million, four hundred five thousand, one hundred forty-four".