26304445440 has 1760 divisors, whose sum is σ = 125832921984. Its totient is φ = 5096079360.

The previous prime is 26304445417. The next prime is 26304445441. The reversal of 26304445440 is 4454440362.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26304445395 and 26304445404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26304445441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 641571820 + ... + 641571860.

Almost surely, 2^26304445440 is an apocalyptic number.

26304445440 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 26304445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62916460992).

26304445440 is an abundant number, since it is smaller than the sum of its proper divisors (99528476544).

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

26304445440 is a wasteful number, since it uses less digits than its factorization.

26304445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 26304445440 in words is "twenty-six billion, three hundred four million, four hundred forty-five thousand, four hundred forty".