1344053411440 has 160 divisors (see below), whose sum is σ = 3316047134400. Its totient is φ = 505756016640.

The previous prime is 1344053411423. The next prime is 1344053411461. The reversal of 1344053411440 is 441143504431.

It is a junction number, because it is equal to n+sod(n) for n = 1344053411396 and 1344053411405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40785370 + ... + 40818310.

It is an arithmetic number, because the mean of its divisors is an integer number (20725294590).

Almost surely, 2^{1344053411440} is an apocalyptic number.

1344053411440 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 1344053411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658023567200).

1344053411440 is an abundant number, since it is smaller than the sum of its proper divisors (1971993722960).

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

1344053411440 is a wasteful number, since it uses less digits than its factorization.

1344053411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33435 (or 33429 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 1344053411440 its reverse (441143504431), we get a palindrome (1785196915871).

The spelling of 1344053411440 in words is "one trillion, three hundred forty-four billion, fifty-three million, four hundred eleven thousand, four hundred forty".