41234414311225 has 36 divisors (see below), whose sum is σ = 52414246336900. Its totient is φ = 32179232448000.

The previous prime is 41234414311213. The next prime is 41234414311231. The reversal of 41234414311225 is 52211341443214.

It can be written as a sum of positive squares in 18 ways, for example, as 39417666165801 + 1816748145424 = 6278349^2 + 1347868^2 .

It is not a de Polignac number, because 41234414311225 - 2⁵ = 41234414311193 is a prime.

It is a super-3 number, since 3×41234414311225³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 395865451 + ... + 395969599.

Almost surely, 2^{41234414311225} is an apocalyptic number.

It is an amenable number.

41234414311225 is a deficient number, since it is larger than the sum of its proper divisors (11179832025675).

41234414311225 is a wasteful number, since it uses less digits than its factorization.

41234414311225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113662 (or 113616 counting only the distinct ones).

The product of its digits is 92160, while the sum is 37.

Adding to 41234414311225 its reverse (52211341443214), we get a palindrome (93445755754439).

The spelling of 41234414311225 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred eleven thousand, two hundred twenty-five".