268828441024 has 224 divisors, whose sum is σ = 659026368000. Its totient is φ = 107056435200.

The previous prime is 268828440977. The next prime is 268828441031. The reversal of 268828441024 is 420144828862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27570102 + ... + 27579850.

It is an arithmetic number, because the mean of its divisors is an integer number (2942082000).

Almost surely, 2^268828441024 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 268828441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329513184000).

268828441024 is an abundant number, since it is smaller than the sum of its proper divisors (390197926976).

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

268828441024 is a wasteful number, since it uses less digits than its factorization.

268828441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 49.

The spelling of 268828441024 in words is "two hundred sixty-eight billion, eight hundred twenty-eight million, four hundred forty-one thousand, twenty-four".