41123811456225 has 81 divisors (see below), whose sum is σ = 77741508363129. Its totient is φ = 20777423400000.

The previous prime is 41123811456199. The next prime is 41123811456253. The reversal of 41123811456225 is 52265411832114.

The square root of 41123811456225 is 6412785.

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

41123811456225 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 3 + 8 + 1 + 14 + 5 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14280304387041 + 26843507069184 = 3778929^2 + 5181072^2 .

It is not a de Polignac number, because 41123811456225 - 2¹³ = 41123811448033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1827632475 + ... + 1827654975.

Almost surely, 2^{41123811456225} is an apocalyptic number.

41123811456225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41123811456225 is the 6412785-th square number.

41123811456225 is the 3206393-rd centered octagonal number.

It is an amenable number.

41123811456225 is a deficient number, since it is larger than the sum of its proper divisors (36617696906904).

41123811456225 is an frugal number, since it uses more digits than its factorization.

41123811456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45056 (or 22528 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 41123811456225 in words is "forty-one trillion, one hundred twenty-three billion, eight hundred eleven million, four hundred fifty-six thousand, two hundred twenty-five".