1344010204040 has 128 divisors (see below), whose sum is σ = 3645076896000. Its totient is φ = 435692141568.

The previous prime is 1344010204013. The next prime is 1344010204111. The reversal of 1344010204040 is 404020104431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1344010203997 and 1344010204015.

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 31 ways as a sum of consecutive naturals, for example, 2459714 + ... + 2956046.

It is an arithmetic number, because the mean of its divisors is an integer number (28477163250).

Almost surely, 2^{1344010204040} is an apocalyptic number.

1344010204040 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 1344010204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822538448000).

1344010204040 is an abundant number, since it is smaller than the sum of its proper divisors (2301066691960).

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

1344010204040 is a wasteful number, since it uses less digits than its factorization.

1344010204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496879 (or 496875 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1344010204040 its reverse (404020104431), we get a palindrome (1748030308471).

The spelling of 1344010204040 in words is "one trillion, three hundred forty-four billion, ten million, two hundred four thousand, forty".