1344402136000 has 448 divisors, whose sum is σ = 4252277772288. Its totient is φ = 408806400000.

The previous prime is 1344402135991. The next prime is 1344402136027. The reversal of 1344402136000 is 6312044431.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1344402136000.

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 63 ways as a sum of consecutive naturals, for example, 25229385 + ... + 25282615.

It is an arithmetic number, because the mean of its divisors is an integer number (9491691456).

Almost surely, 2^{1344402136000} is an apocalyptic number.

1344402136000 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 1344402136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126138886144).

1344402136000 is an abundant number, since it is smaller than the sum of its proper divisors (2907875636288).

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

1344402136000 is a wasteful number, since it uses less digits than its factorization.

1344402136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53317 (or 53297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 1344402136000 in words is "one trillion, three hundred forty-four billion, four hundred two million, one hundred thirty-six thousand".