1344134344000 has 448 divisors, whose sum is σ = 3857158656000. Its totient is φ = 454481971200.

The previous prime is 1344134343971. The next prime is 1344134344013. The reversal of 1344134344000 is 4434314431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 2693655751 + ... + 2693656249.

Almost surely, 2^{1344134344000} is an apocalyptic number.

1344134344000 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 1344134344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928579328000).

1344134344000 is an abundant number, since it is smaller than the sum of its proper divisors (2513024312000).

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

1344134344000 is a wasteful number, since it uses less digits than its factorization.

1344134344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1344134344000 its reverse (4434314431), we get a palindrome (1348568658431).

The spelling of 1344134344000 in words is "one trillion, three hundred forty-four billion, one hundred thirty-four million, three hundred forty-four thousand".