40241000414041 has 24 divisors (see below), whose sum is σ = 47076908076000. Its totient is φ = 34296360404544.

The previous prime is 40241000414029. The next prime is 40241000414051. The reversal of 40241000414041 is 14041400014204.

40241000414041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40241000414041 - 2⁹ = 40241000413529 is a prime.

It is a super-2 number, since 2×40241000414041² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40241000413997 and 40241000414015.

It is not an unprimeable number, because it can be changed into a prime (40241000414011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95296750 + ... + 95718088.

It is an arithmetic number, because the mean of its divisors is an integer number (1961537836500).

Almost surely, 2^{40241000414041} is an apocalyptic number.

It is an amenable number.

40241000414041 is a deficient number, since it is larger than the sum of its proper divisors (6835907661959).

40241000414041 is a wasteful number, since it uses less digits than its factorization.

40241000414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432421 (or 432414 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 40241000414041 its reverse (14041400014204), we get a palindrome (54282400428245).

The spelling of 40241000414041 in words is "forty trillion, two hundred forty-one billion, four hundred fourteen thousand, forty-one".