261325440000 has 825 divisors, whose sum is σ = 989076855811. Its totient is φ = 68705280000.

The previous prime is 261325439971. The next prime is 261325440007. The reversal of 261325440000 is 44523162.

The square root of 261325440000 is 511200.

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

261325440000 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 254 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20487914496 + 240837525504 = 143136^2 + 490752^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261325440007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3680639965 + ... + 3680640035.

Almost surely, 2^261325440000 is an apocalyptic number.

261325440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

261325440000 is the 511200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261325440000

261325440000 is an abundant number, since it is smaller than the sum of its proper divisors (727751415811).

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

261325440000 is an frugal number, since it uses more digits than its factorization.

261325440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 261325440000 its reverse (44523162), we get a palindrome (261369963162).

The spelling of 261325440000 in words is "two hundred sixty-one billion, three hundred twenty-five million, four hundred forty thousand".