26331641440 has 96 divisors (see below), whose sum is σ = 67148706240. Its totient is φ = 9699969024.

The previous prime is 26331641423. The next prime is 26331641461. The reversal of 26331641440 is 4414613362.

It is a junction number, because it is equal to n+sod(n) for n = 26331641396 and 26331641405.

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 15 ways as a sum of consecutive naturals, for example, 898702 + ... + 927538.

It is an arithmetic number, because the mean of its divisors is an integer number (699465690).

Almost surely, 2^26331641440 is an apocalyptic number.

26331641440 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 26331641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33574353120).

26331641440 is an abundant number, since it is smaller than the sum of its proper divisors (40817064800).

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

26331641440 is a wasteful number, since it uses less digits than its factorization.

26331641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29304 (or 29296 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 26331641440 in words is "twenty-six billion, three hundred thirty-one million, six hundred forty-one thousand, four hundred forty".