414103034244041 has 32 divisors (see below), whose sum is σ = 419449581757440. Its totient is φ = 408797390848000.

The previous prime is 414103034244007. The next prime is 414103034244047. The reversal of 414103034244041 is 140442430301414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414103034244041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414103034243992 and 414103034244010.

It is not an unprimeable number, because it can be changed into a prime (414103034244047) 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, 42087914000 + ... + 42087923838.

It is an arithmetic number, because the mean of its divisors is an integer number (13107799429920).

Almost surely, 2^{414103034244041} is an apocalyptic number.

It is an amenable number.

414103034244041 is a deficient number, since it is larger than the sum of its proper divisors (5346547513399).

414103034244041 is a wasteful number, since it uses less digits than its factorization.

414103034244041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 414103034244041 its reverse (140442430301414), we get a palindrome (554545464545455).

The spelling of 414103034244041 in words is "four hundred fourteen trillion, one hundred three billion, thirty-four million, two hundred forty-four thousand, forty-one".