268729943040 has 1056 divisors, whose sum is σ = 1072955520000. Its totient is φ = 61683793920.

The previous prime is 268729943039. The next prime is 268729943051. The reversal of 268729943040 is 40349927862.

268729943040 is a `hidden beast` number, since 2 + 6 + 87 + 2 + 99 + 430 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538536711 + ... + 538537209.

Almost surely, 2^268729943040 is an apocalyptic number.

268729943040 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 268729943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536477760000).

268729943040 is an abundant number, since it is smaller than the sum of its proper divisors (804225576960).

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

268729943040 is a wasteful number, since it uses less digits than its factorization.

268729943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 268729943040 in words is "two hundred sixty-eight billion, seven hundred twenty-nine million, nine hundred forty-three thousand, forty".