1343844013824 has 1152 divisors, whose sum is σ = 4759413120000. Its totient is φ = 370102763520.

The previous prime is 1343844013789. The next prime is 1343844013849. The reversal of 1343844013824 is 4283104483431.

1343844013824 is a `hidden beast` number, since 13 + 43 + 8 + 440 + 138 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 1343844013824.

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 127 ways as a sum of consecutive naturals, for example, 2693073927 + ... + 2693074425.

It is an arithmetic number, because the mean of its divisors is an integer number (4131435000).

Almost surely, 2^{1343844013824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343844013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379706560000).

1343844013824 is an abundant number, since it is smaller than the sum of its proper divisors (3415569106176).

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

1343844013824 is a wasteful number, since it uses less digits than its factorization.

1343844013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1343844013824 in words is "one trillion, three hundred forty-three billion, eight hundred forty-four million, thirteen thousand, eight hundred twenty-four".