41197848288025 has 243 divisors, whose sum is σ = 62451435013149. Its totient is φ = 26927121936000.

The previous prime is 41197848287983. The next prime is 41197848288131. The reversal of 41197848288025 is 52088284879114.

The square root of 41197848288025 is 6418555.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10618806339801 + 30579041948224 = 3258651^2 + 5529832^2 .

It is not a de Polignac number, because 41197848288025 - 2⁹ = 41197848287513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 215695540680 + ... + 215695540870.

Almost surely, 2^{41197848288025} is an apocalyptic number.

41197848288025 is the 6418555-th square number.

41197848288025 is the 3209278-th centered octagonal number.

It is an amenable number.

41197848288025 is a deficient number, since it is larger than the sum of its proper divisors (21253586725124).

41197848288025 is a wasteful number, since it uses less digits than its factorization.

41197848288025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 67.

The spelling of 41197848288025 in words is "forty-one trillion, one hundred ninety-seven billion, eight hundred forty-eight million, two hundred eighty-eight thousand, twenty-five".