338968394240 has 320 divisors, whose sum is σ = 952290763776. Its totient is φ = 113310892032.

The previous prime is 338968394221. The next prime is 338968394267. The reversal of 338968394240 is 42493869833.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×338968394240² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338968394240.

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 31 ways as a sum of consecutive naturals, for example, 164307449 + ... + 164309511.

Almost surely, 2^338968394240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338968394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476145381888).

338968394240 is an abundant number, since it is smaller than the sum of its proper divisors (613322369536).

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

338968394240 is a wasteful number, since it uses less digits than its factorization.

338968394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 338968394240 in words is "three hundred thirty-eight billion, nine hundred sixty-eight million, three hundred ninety-four thousand, two hundred forty".