268546320040 has 32 divisors (see below), whose sum is σ = 604274023080. Its totient is φ = 107410563072.

The previous prime is 268546320023. The next prime is 268546320041. The reversal of 268546320040 is 40023645862.

It can be written as a sum of positive squares in 4 ways, for example, as 254926029604 + 13620290436 = 504902^2 + 116706^2 .

It is a super-2 number, since 2×268546320040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 268546319975 and 268546320002.

It is not an unprimeable number, because it can be changed into a prime (268546320041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312952 + ... + 796888.

Almost surely, 2^268546320040 is an apocalyptic number.

268546320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268546320040 is an abundant number, since it is smaller than the sum of its proper divisors (335727703040).

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

268546320040 is a wasteful number, since it uses less digits than its factorization.

268546320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497821 (or 497817 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 268546320040 in words is "two hundred sixty-eight billion, five hundred forty-six million, three hundred twenty thousand, forty".