1344014340000 has 240 divisors, whose sum is σ = 4433300514720. Its totient is φ = 356398720000.

The previous prime is 1344014339981. The next prime is 1344014340023. The reversal of 1344014340000 is 434104431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1344014340000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10677430 + ... + 10802570.

It is an arithmetic number, because the mean of its divisors is an integer number (18472085478).

Almost surely, 2^{1344014340000} is an apocalyptic number.

1344014340000 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 1344014340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216650257360).

1344014340000 is an abundant number, since it is smaller than the sum of its proper divisors (3089286174720).

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

1344014340000 is a wasteful number, since it uses less digits than its factorization.

1344014340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125353 (or 125330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1344014340000 its reverse (434104431), we get a palindrome (1344448444431).

The spelling of 1344014340000 in words is "one trillion, three hundred forty-four billion, fourteen million, three hundred forty thousand".