1338942739200 has 864 divisors, whose sum is σ = 5242524456960. Its totient is φ = 297212313600.

The previous prime is 1338942739171. The next prime is 1338942739223. The reversal of 1338942739200 is 29372498331.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132839761 + ... + 132849839.

It is an arithmetic number, because the mean of its divisors is an integer number (6067736640).

Almost surely, 2^{1338942739200} is an apocalyptic number.

1338942739200 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 1338942739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621262228480).

1338942739200 is an abundant number, since it is smaller than the sum of its proper divisors (3903581717760).

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

1338942739200 is a wasteful number, since it uses less digits than its factorization.

1338942739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10154 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 1338942739200 in words is "one trillion, three hundred thirty-eight billion, nine hundred forty-two million, seven hundred thirty-nine thousand, two hundred".