26104037440 has 336 divisors, whose sum is σ = 70444772496. Its totient is φ = 9201254400.

The previous prime is 26104037437. The next prime is 26104037483. The reversal of 26104037440 is 4473040162.

It can be written as a sum of positive squares in 24 ways, for example, as 22227231744 + 3876805696 = 149088^2 + 62264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135253984 + ... + 135254176.

It is an arithmetic number, because the mean of its divisors is an integer number (209657061).

Almost surely, 2^26104037440 is an apocalyptic number.

26104037440 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 26104037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35222386248).

26104037440 is an abundant number, since it is smaller than the sum of its proper divisors (44340735056).

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

26104037440 is a wasteful number, since it uses less digits than its factorization.

26104037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 26104037440 in words is "twenty-six billion, one hundred four million, thirty-seven thousand, four hundred forty".