268442941188240 has 960 divisors, whose sum is σ = 1150951603716096. Its totient is φ = 56624114866176.

The previous prime is 268442941188223. The next prime is 268442941188283. The reversal of 268442941188240 is 42881149244862.

268442941188240 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 429 + 4 + 1 + 188 + 24 + 0 = 666.

It is a super-2 number, since 2×268442941188240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7866903819 + ... + 7866937941.

Almost surely, 2^{268442941188240} is an apocalyptic number.

268442941188240 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 268442941188240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575475801858048).

268442941188240 is an abundant number, since it is smaller than the sum of its proper divisors (882508662527856).

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

268442941188240 is a wasteful number, since it uses less digits than its factorization.

268442941188240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38618 (or 38600 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 268442941188240 in words is "two hundred sixty-eight trillion, four hundred forty-two billion, nine hundred forty-one million, one hundred eighty-eight thousand, two hundred forty".