26229580440 has 320 divisors, whose sum is σ = 93414470400. Its totient is φ = 5889897216.

The previous prime is 26229580409. The next prime is 26229580441. The reversal of 26229580440 is 4408592262.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26229580392 and 26229580401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26229580441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 16998309 + ... + 16999851.

It is an arithmetic number, because the mean of its divisors is an integer number (291920220).

Almost surely, 2^26229580440 is an apocalyptic number.

26229580440 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 26229580440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46707235200).

26229580440 is an abundant number, since it is smaller than the sum of its proper divisors (67184889960).

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

26229580440 is a wasteful number, since it uses less digits than its factorization.

26229580440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 26229580440 in words is "twenty-six billion, two hundred twenty-nine million, five hundred eighty thousand, four hundred forty".