26045439840 has 576 divisors, whose sum is σ = 106700944896. Its totient is φ = 5876416512.

The previous prime is 26045439817. The next prime is 26045439853. The reversal of 26045439840 is 4893454062.

26045439840 is a `hidden beast` number, since 2 + 60 + 4 + 543 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 22588704 + ... + 22589856.

It is an arithmetic number, because the mean of its divisors is an integer number (185244696).

Almost surely, 2^26045439840 is an apocalyptic number.

26045439840 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 26045439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53350472448).

26045439840 is an abundant number, since it is smaller than the sum of its proper divisors (80655505056).

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

26045439840 is a wasteful number, since it uses less digits than its factorization.

26045439840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 26045439840 in words is "twenty-six billion, forty-five million, four hundred thirty-nine thousand, eight hundred forty".