1338172870320 has 1680 divisors, whose sum is σ = 5723538045120. Its totient is φ = 288550563840.

The previous prime is 1338172870283. The next prime is 1338172870343. The reversal of 1338172870320 is 230782718331.

It is a happy number.

1338172870320 is a `hidden beast` number, since 1 + 3 + 38 + 17 + 287 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 335 ways as a sum of consecutive naturals, for example, 2660383189 + ... + 2660383691.

It is an arithmetic number, because the mean of its divisors is an integer number (3406867884).

Almost surely, 2^{1338172870320} is an apocalyptic number.

1338172870320 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 1338172870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861769022560).

1338172870320 is an abundant number, since it is smaller than the sum of its proper divisors (4385365174800).

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

1338172870320 is a wasteful number, since it uses less digits than its factorization.

1338172870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1338172870320 in words is "one trillion, three hundred thirty-eight billion, one hundred seventy-two million, eight hundred seventy thousand, three hundred twenty".