268311614040 has 192 divisors, whose sum is σ = 924735333600. Its totient is φ = 67236827136.

The previous prime is 268311614029. The next prime is 268311614041. The reversal of 268311614040 is 40416113862.

268311614040 is a `hidden beast` number, since 2 + 6 + 8 + 31 + 1 + 614 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×268311614040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 268311613986 and 268311614004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268311614041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3962791 + ... + 4029929.

Almost surely, 2^268311614040 is an apocalyptic number.

268311614040 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 268311614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462367666800).

268311614040 is an abundant number, since it is smaller than the sum of its proper divisors (656423719560).

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

268311614040 is a wasteful number, since it uses less digits than its factorization.

268311614040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67826 (or 67819 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 268311614040 in words is "two hundred sixty-eight billion, three hundred eleven million, six hundred fourteen thousand, forty".