414031320241 has 16 divisors (see below), whose sum is σ = 516219291648. Its totient is φ = 322606558800.

The previous prime is 414031320217. The next prime is 414031320251. The reversal of 414031320241 is 142023130414.

It is a cyclic number.

It is not a de Polignac number, because 414031320241 - 2⁷ = 414031320113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414031320251) 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, 1677976 + ... + 1908838.

It is an arithmetic number, because the mean of its divisors is an integer number (32263705728).

Almost surely, 2^414031320241 is an apocalyptic number.

It is an amenable number.

414031320241 is a deficient number, since it is larger than the sum of its proper divisors (102187971407).

414031320241 is a wasteful number, since it uses less digits than its factorization.

414031320241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254172.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414031320241 its reverse (142023130414), we get a palindrome (556054450655).

The spelling of 414031320241 in words is "four hundred fourteen billion, thirty-one million, three hundred twenty thousand, two hundred forty-one".