41115040344144 has 120 divisors (see below), whose sum is σ = 124060761056232. Its totient is φ = 12636019445760.

The previous prime is 41115040344121. The next prime is 41115040344211. The reversal of 41115040344144 is 44144304051114.

41115040344144 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 504 + 0 + 3 + 4 + 4 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1632517290000 + 39482523054144 = 1277700^2 + 6283512^2 .

It is a super-3 number, since 3×41115040344144³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41115040344099 and 41115040344108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11209677 + ... + 14418284.

Almost surely, 2^{41115040344144} is an apocalyptic number.

It is an amenable number.

41115040344144 is an abundant number, since it is smaller than the sum of its proper divisors (82945720712088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41115040344144 is a wasteful number, since it uses less digits than its factorization.

41115040344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25628845 (or 25628836 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 41115040344144 its reverse (44144304051114), we get a palindrome (85259344395258).

The spelling of 41115040344144 in words is "forty-one trillion, one hundred fifteen billion, forty million, three hundred forty-four thousand, one hundred forty-four".