1348007380800 has 336 divisors, whose sum is σ = 4536276659712. Its totient is φ = 350250598400.

The previous prime is 1348007380789. The next prime is 1348007380817. The reversal of 1348007380800 is 80837008431.

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 47 ways as a sum of consecutive naturals, for example, 169834432 + ... + 169842368.

It is an arithmetic number, because the mean of its divisors is an integer number (13500823392).

Almost surely, 2^{1348007380800} is an apocalyptic number.

1348007380800 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 1348007380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268138329856).

1348007380800 is an abundant number, since it is smaller than the sum of its proper divisors (3188269278912).

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

1348007380800 is a wasteful number, since it uses less digits than its factorization.

1348007380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 1348007380800 in words is "one trillion, three hundred forty-eight billion, seven million, three hundred eighty thousand, eight hundred".