1640410216225 has 135 divisors (see below), whose sum is σ = 2349500520315. Its totient is φ = 1136107526400.

The previous prime is 1640410216169. The next prime is 1640410216229. The reversal of 1640410216225 is 5226120140461.

The square root of 1640410216225 is 1280785.

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

It can be written as a sum of positive squares in 13 ways, for example, as 901525563169 + 738884653056 = 949487^2 + 859584^2 .

It is not a de Polignac number, because 1640410216225 - 2¹³ = 1640410208033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1640410216229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22471372789 + ... + 22471372861.

Almost surely, 2^{1640410216225} is an apocalyptic number.

1640410216225 is the 1280785-th square number.

1640410216225 is the 640393-rd centered octagonal number.

It is an amenable number.

1640410216225 is a deficient number, since it is larger than the sum of its proper divisors (709090304090).

1640410216225 is an frugal number, since it uses more digits than its factorization.

1640410216225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 1640410216225 its reverse (5226120140461), we get a palindrome (6866530356686).

The spelling of 1640410216225 in words is "one trillion, six hundred forty billion, four hundred ten million, two hundred sixteen thousand, two hundred twenty-five".