1338360685920 has 576 divisors, whose sum is σ = 4938522825600. Its totient is φ = 329042165760.

The previous prime is 1338360685913. The next prime is 1338360685939. The reversal of 1338360685920 is 295860638331.

It is a happy number.

1338360685920 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 3 + 606 + 8 + 5 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 969123630 + ... + 969125010.

It is an arithmetic number, because the mean of its divisors is an integer number (8573824350).

Almost surely, 2^{1338360685920} is an apocalyptic number.

1338360685920 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 1338360685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469261412800).

1338360685920 is an abundant number, since it is smaller than the sum of its proper divisors (3600162139680).

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

1338360685920 is a wasteful number, since it uses less digits than its factorization.

1338360685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1338360685920 in words is "one trillion, three hundred thirty-eight billion, three hundred sixty million, six hundred eighty-five thousand, nine hundred twenty".