26646224044440 has 1152 divisors, whose sum is σ = 109821306470400. Its totient is φ = 5060030976000.

The previous prime is 26646224044409. The next prime is 26646224044457. The reversal of 26646224044440 is 4444042264662.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 26646224044440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1734885481 + ... + 1734900839.

It is an arithmetic number, because the mean of its divisors is an integer number (95330995200).

Almost surely, 2^{26646224044440} is an apocalyptic number.

26646224044440 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 26646224044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54910653235200).

26646224044440 is an abundant number, since it is smaller than the sum of its proper divisors (83175082425960).

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

26646224044440 is a wasteful number, since it uses less digits than its factorization.

26646224044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15529 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 48.

The spelling of 26646224044440 in words is "twenty-six trillion, six hundred forty-six billion, two hundred twenty-four million, forty-four thousand, four hundred forty".