1338189971040 has 960 divisors, whose sum is σ = 5571195759360. Its totient is φ = 299315036160.

The previous prime is 1338189970969. The next prime is 1338189971077. The reversal of 1338189971040 is 401799818331.

It is a happy number.

1338189971040 is a `hidden beast` number, since 1 + 338 + 189 + 97 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83052585 + ... + 83068695.

It is an arithmetic number, because the mean of its divisors is an integer number (5803328916).

Almost surely, 2^{1338189971040} is an apocalyptic number.

1338189971040 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 1338189971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785597879680).

1338189971040 is an abundant number, since it is smaller than the sum of its proper divisors (4233005788320).

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

1338189971040 is a wasteful number, since it uses less digits than its factorization.

1338189971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197 (or 16180 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1338189971040 in words is "one trillion, three hundred thirty-eight billion, one hundred eighty-nine million, nine hundred seventy-one thousand, forty".