41178723214225 has 27 divisors (see below), whose sum is σ = 51773617688499. Its totient is φ = 32489856777600.

The previous prime is 41178723214207. The next prime is 41178723214243. The reversal of 41178723214225 is 52241232787114.

The square root of 41178723214225 is 6417065.

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 (41178723214207) and next prime (41178723214243).

It can be written as a sum of positive squares in 13 ways, for example, as 33235028990289 + 7943694223936 = 5764983^2 + 2818456^2 .

It is not a de Polignac number, because 41178723214225 - 2²⁷ = 41178588996497 is a prime.

It is a super-3 number, since 3×41178723214225³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

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, 2342219935 + ... + 2342237515.

Almost surely, 2^{41178723214225} is an apocalyptic number.

41178723214225 is the 6417065-th square number.

41178723214225 is the 3208533-rd centered octagonal number.

It is an amenable number.

41178723214225 is a deficient number, since it is larger than the sum of its proper divisors (10594894474274).

41178723214225 is an frugal number, since it uses more digits than its factorization.

41178723214225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35318 (or 17659 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 49.

The spelling of 41178723214225 in words is "forty-one trillion, one hundred seventy-eight billion, seven hundred twenty-three million, two hundred fourteen thousand, two hundred twenty-five".