268441933200 has 1440 divisors, whose sum is σ = 1137538621440. Its totient is φ = 53648179200.

The previous prime is 268441933189. The next prime is 268441933211. The reversal of 268441933200 is 2339144862.

It is an interprime number because it is at equal distance from previous prime (268441933189) and next prime (268441933211).

It is a super-2 number, since 2×268441933200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 796563432 + ... + 796563768.

It is an arithmetic number, because the mean of its divisors is an integer number (789957376).

Almost surely, 2^268441933200 is an apocalyptic number.

268441933200 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 268441933200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568769310720).

268441933200 is an abundant number, since it is smaller than the sum of its proper divisors (869096688240).

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

268441933200 is a wasteful number, since it uses less digits than its factorization.

268441933200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 268441933200 in words is "two hundred sixty-eight billion, four hundred forty-one million, nine hundred thirty-three thousand, two hundred".