41200672500625 has 135 divisors (see below), whose sum is σ = 60158714918533. Its totient is φ = 28180989760000.

The previous prime is 41200672500607. The next prime is 41200672500643. The reversal of 41200672500625 is 52600527600214.

The square root of 41200672500625 is 6418775.

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

It is an interprime number because it is at equal distance from previous prime (41200672500607) and next prime (41200672500643).

It can be written as a sum of positive squares in 22 ways, for example, as 24545752370689 + 16654920129936 = 4954367^2 + 4081044^2 .

It is not a de Polignac number, because 41200672500625 - 2⁵ = 41200672500593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30007772439 + ... + 30007773811.

Almost surely, 2^{41200672500625} is an apocalyptic number.

41200672500625 is the 6418775-th square number.

41200672500625 is the 3209388-th centered octagonal number.

It is an amenable number.

41200672500625 is a deficient number, since it is larger than the sum of its proper divisors (18958042417908).

41200672500625 is an frugal number, since it uses more digits than its factorization.

41200672500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 41200672500625 in words is "forty-one trillion, two hundred billion, six hundred seventy-two million, five hundred thousand, six hundred twenty-five".