268450943040 has 896 divisors, whose sum is σ = 1126798295040. Its totient is φ = 58873651200.

The previous prime is 268450943039. The next prime is 268450943051. The reversal of 268450943040 is 40349054862.

268450943040 is a `hidden beast` number, since 2 + 68 + 4 + 509 + 43 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245608734 + ... + 245609826.

Almost surely, 2^268450943040 is an apocalyptic number.

268450943040 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 268450943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563399147520).

268450943040 is an abundant number, since it is smaller than the sum of its proper divisors (858347352000).

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

268450943040 is a wasteful number, since it uses less digits than its factorization.

268450943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 268450943040 in words is "two hundred sixty-eight billion, four hundred fifty million, nine hundred forty-three thousand, forty".