268004442000 has 160 divisors (see below), whose sum is σ = 864330929280. Its totient is φ = 71444313600.

The previous prime is 268004441909. The next prime is 268004442001. The reversal of 268004442000 is 244400862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (268004442001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25692786 + ... + 25703214.

It is an arithmetic number, because the mean of its divisors is an integer number (5402068308).

Almost surely, 2^268004442000 is an apocalyptic number.

268004442000 is a gapful number since it is divisible by the number (20) 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 268004442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432165464640).

268004442000 is an abundant number, since it is smaller than the sum of its proper divisors (596326487280).

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

268004442000 is a wasteful number, since it uses less digits than its factorization.

268004442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14738 (or 14722 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 268004442000 its reverse (244400862), we get a palindrome (268248842862).

The spelling of 268004442000 in words is "two hundred sixty-eight billion, four million, four hundred forty-two thousand".