413314231400241 has 32 divisors (see below), whose sum is σ = 601745850720000. Its totient is φ = 251311141509120.

The previous prime is 413314231400219. The next prime is 413314231400263. The reversal of 413314231400241 is 142004132413314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413314231400219) and next prime (413314231400263).

It is not a de Polignac number, because 413314231400241 - 2¹¹ = 413314231398193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413314231400281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662988541 + ... + 663611658.

It is an arithmetic number, because the mean of its divisors is an integer number (18804557835000).

Almost surely, 2^{413314231400241} is an apocalyptic number.

413314231400241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413314231400241 is a deficient number, since it is larger than the sum of its proper divisors (188431619319759).

413314231400241 is a wasteful number, since it uses less digits than its factorization.

413314231400241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326600409.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 413314231400241 its reverse (142004132413314), we get a palindrome (555318363813555).

The spelling of 413314231400241 in words is "four hundred thirteen trillion, three hundred fourteen billion, two hundred thirty-one million, four hundred thousand, two hundred forty-one".