410414413141 has 16 divisors (see below), whose sum is σ = 419485448880. Its totient is φ = 401464627200.

The previous prime is 410414413111. The next prime is 410414413187. The reversal of 410414413141 is 141314414014.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 49585937041 + 360828476100 = 222679^2 + 600690^2 .

It is a cyclic number.

It is not a de Polignac number, because 410414413141 - 2²⁹ = 409877542229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410414413111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514825 + ... + 3629713.

It is an arithmetic number, because the mean of its divisors is an integer number (26217840555).

Almost surely, 2^410414413141 is an apocalyptic number.

It is an amenable number.

410414413141 is a deficient number, since it is larger than the sum of its proper divisors (9071035739).

410414413141 is a wasteful number, since it uses less digits than its factorization.

410414413141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115416.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 410414413141 its reverse (141314414014), we get a palindrome (551728827155).

The spelling of 410414413141 in words is "four hundred ten billion, four hundred fourteen million, four hundred thirteen thousand, one hundred forty-one".