41042314400013 has 16 divisors (see below), whose sum is σ = 64003609201600. Its totient is φ = 25921461726000.

The previous prime is 41042314399993. The next prime is 41042314400023. The reversal of 41042314400013 is 31000441324014.

41042314400013 is a `hidden beast` number, since 4 + 10 + 4 + 231 + 4 + 400 + 0 + 13 = 666.

It is not a de Polignac number, because 41042314400013 - 2⁶ = 41042314399949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41042314400013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41042314400023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40002255238 + ... + 40002256263.

It is an arithmetic number, because the mean of its divisors is an integer number (4000225575100).

Almost surely, 2^{41042314400013} is an apocalyptic number.

It is an amenable number.

41042314400013 is a deficient number, since it is larger than the sum of its proper divisors (22961294801587).

41042314400013 is a wasteful number, since it uses less digits than its factorization.

41042314400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80004511529 (or 80004511523 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41042314400013 its reverse (31000441324014), we get a palindrome (72042755724027).

The spelling of 41042314400013 in words is "forty-one trillion, forty-two billion, three hundred fourteen million, four hundred thousand, thirteen".