26441819712 has 896 divisors, whose sum is σ = 102740520960. Its totient is φ = 6469632000.

The previous prime is 26441819711. The next prime is 26441819713. The reversal of 26441819712 is 21791814462.

26441819712 is a `hidden beast` number, since 2 + 6 + 441 + 8 + 197 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (26441819711) and next prime (26441819713).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26441819711) 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 127 ways as a sum of consecutive naturals, for example, 201845887 + ... + 201846017.

It is an arithmetic number, because the mean of its divisors is an integer number (114665760).

Almost surely, 2^26441819712 is an apocalyptic number.

26441819712 is a gapful number since it is divisible by the number (22) 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 26441819712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51370260480).

26441819712 is an abundant number, since it is smaller than the sum of its proper divisors (76298701248).

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

26441819712 is a wasteful number, since it uses less digits than its factorization.

26441819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 26441819712 in words is "twenty-six billion, four hundred forty-one million, eight hundred nineteen thousand, seven hundred twelve".