268831405440 has 896 divisors, whose sum is σ = 1048860288000. Its totient is φ = 65464713216.

The previous prime is 268831405417. The next prime is 268831405459. The reversal of 268831405440 is 44504138862.

268831405440 is a `hidden beast` number, since 2 + 68 + 8 + 3 + 1 + 40 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 770290386 + ... + 770290734.

It is an arithmetic number, because the mean of its divisors is an integer number (1170603000).

Almost surely, 2^268831405440 is an apocalyptic number.

268831405440 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 268831405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524430144000).

268831405440 is an abundant number, since it is smaller than the sum of its proper divisors (780028882560).

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

268831405440 is a wasteful number, since it uses less digits than its factorization.

268831405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 268831405440 in words is "two hundred sixty-eight billion, eight hundred thirty-one million, four hundred five thousand, four hundred forty".