1338807298080 has 576 divisors, whose sum is σ = 5205954862080. Its totient is φ = 287740164096.

The previous prime is 1338807298043. The next prime is 1338807298097. The reversal of 1338807298080 is 808927088331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1338807298080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31895667 + ... + 31937613.

It is an arithmetic number, because the mean of its divisors is an integer number (9038116080).

Almost surely, 2^{1338807298080} is an apocalyptic number.

1338807298080 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 1338807298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602977431040).

1338807298080 is an abundant number, since it is smaller than the sum of its proper divisors (3867147564000).

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

1338807298080 is a wasteful number, since it uses less digits than its factorization.

1338807298080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42061 (or 42046 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 1338807298080 in words is "one trillion, three hundred thirty-eight billion, eight hundred seven million, two hundred ninety-eight thousand, eighty".