1338402165120 has 768 divisors, whose sum is σ = 4954217748480. Its totient is φ = 345090170880.

The previous prime is 1338402165077. The next prime is 1338402165131. The reversal of 1338402165120 is 215612048331.

1338402165120 is a `hidden beast` number, since 1 + 338 + 40 + 2 + 165 + 120 = 666.

It is a super-2 number, since 2×1338402165120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 585220617 + ... + 585222903.

It is an arithmetic number, because the mean of its divisors is an integer number (6450804360).

Almost surely, 2^{1338402165120} is an apocalyptic number.

1338402165120 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 1338402165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477108874240).

1338402165120 is an abundant number, since it is smaller than the sum of its proper divisors (3615815583360).

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

1338402165120 is an equidigital number, since it uses as much as digits as its factorization.

1338402165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1338402165120 in words is "one trillion, three hundred thirty-eight billion, four hundred two million, one hundred sixty-five thousand, one hundred twenty".