1344033027700 has 144 divisors (see below), whose sum is σ = 3253889237760. Its totient is φ = 477771840000.

The previous prime is 1344033027697. The next prime is 1344033027707. The reversal of 1344033027700 is 77203304431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344033027707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8700334 + ... + 8853466.

It is an arithmetic number, because the mean of its divisors is an integer number (22596453040).

Almost surely, 2^{1344033027700} is an apocalyptic number.

1344033027700 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 1344033027700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626944618880).

1344033027700 is an abundant number, since it is smaller than the sum of its proper divisors (1909856210060).

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

1344033027700 is a wasteful number, since it uses less digits than its factorization.

1344033027700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153338 (or 153331 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 1344033027700 in words is "one trillion, three hundred forty-four billion, thirty-three million, twenty-seven thousand, seven hundred".