268435814400 has 1080 divisors, whose sum is σ = 1079402163840. Its totient is φ = 65903984640.

The previous prime is 268435814371. The next prime is 268435814447. The reversal of 268435814400 is 4418534862.

268435814400 is a `hidden beast` number, since 2 + 68 + 4 + 3 + 581 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 89 ways as a sum of consecutive naturals, for example, 700876609 + ... + 700876991.

It is an arithmetic number, because the mean of its divisors is an integer number (999446448).

Almost surely, 2^268435814400 is an apocalyptic number.

268435814400 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 268435814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539701081920).

268435814400 is an abundant number, since it is smaller than the sum of its proper divisors (810966349440).

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

268435814400 is a wasteful number, since it uses less digits than its factorization.

268435814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 406 counting only the distinct ones).

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

The spelling of 268435814400 in words is "two hundred sixty-eight billion, four hundred thirty-five million, eight hundred fourteen thousand, four hundred".