268401831926400 has 288 divisors, whose sum is σ = 958118707728000. Its totient is φ = 71543968573440.

The previous prime is 268401831926351. The next prime is 268401831926419. The reversal of 268401831926400 is 4629138104862.

268401831926400 is a `hidden beast` number, since 2 + 6 + 8 + 40 + 1 + 8 + 3 + 192 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67148827 + ... + 71033573.

It is an arithmetic number, because the mean of its divisors is an integer number (3326801068500).

Almost surely, 2^{268401831926400} is an apocalyptic number.

268401831926400 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 268401831926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479059353864000).

268401831926400 is an abundant number, since it is smaller than the sum of its proper divisors (689716875801600).

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

268401831926400 is a wasteful number, since it uses less digits than its factorization.

268401831926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887176 (or 3887156 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 268401831926400 in words is "two hundred sixty-eight trillion, four hundred one billion, eight hundred thirty-one million, nine hundred twenty-six thousand, four hundred".