26871441408 has 288 divisors, whose sum is σ = 93921871680. Its totient is φ = 7225344000.

The previous prime is 26871441347. The next prime is 26871441409. The reversal of 26871441408 is 80414417862.

26871441408 is a `hidden beast` number, since 26 + 87 + 144 + 1 + 408 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26871441409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187283 + ... + 2199533.

It is an arithmetic number, because the mean of its divisors is an integer number (326117610).

Almost surely, 2^26871441408 is an apocalyptic number.

26871441408 is a gapful number since it is divisible by the number (28) 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 26871441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46960935840).

26871441408 is an abundant number, since it is smaller than the sum of its proper divisors (67050430272).

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

26871441408 is a wasteful number, since it uses less digits than its factorization.

26871441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12303 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 26871441408 in words is "twenty-six billion, eight hundred seventy-one million, four hundred forty-one thousand, four hundred eight".