26741185331344 has 135 divisors (see below), whose sum is σ = 57323427656313. Its totient is φ = 12075758217600.

The previous prime is 26741185331321. The next prime is 26741185331351. The reversal of 26741185331344 is 44313358114762.

The square root of 26741185331344 is 5171188.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2346595059600 + 24394590271744 = 1531860^2 + 4939088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26741185331291 and 26741185331300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48009309114 + ... + 48009309670.

Almost surely, 2^{26741185331344} is an apocalyptic number.

26741185331344 is the 5171188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26741185331344

26741185331344 is an abundant number, since it is smaller than the sum of its proper divisors (30582242324969).

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

26741185331344 is an frugal number, since it uses more digits than its factorization.

26741185331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 781 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 26741185331344 in words is "twenty-six trillion, seven hundred forty-one billion, one hundred eighty-five million, three hundred thirty-one thousand, three hundred forty-four".