1338960637872 has 320 divisors, whose sum is σ = 4519230750720. Its totient is φ = 374201856000.

The previous prime is 1338960637849. The next prime is 1338960637873. The reversal of 1338960637872 is 2787360698331.

1338960637872 is a `hidden beast` number, since 1 + 3 + 389 + 60 + 63 + 78 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1338960637873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74183953 + ... + 74201999.

It is an arithmetic number, because the mean of its divisors is an integer number (14122596096).

Almost surely, 2^{1338960637872} is an apocalyptic number.

1338960637872 is a gapful number since it is divisible by the number (12) 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 1338960637872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259615375360).

1338960637872 is an abundant number, since it is smaller than the sum of its proper divisors (3180270112848).

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

1338960637872 is a wasteful number, since it uses less digits than its factorization.

1338960637872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19289 (or 19277 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 1338960637872 in words is "one trillion, three hundred thirty-eight billion, nine hundred sixty million, six hundred thirty-seven thousand, eight hundred seventy-two".