414401434210441 has 4 divisors (see below), whose sum is σ = 418424749105792. Its totient is φ = 410378119315092.

The previous prime is 414401434210409. The next prime is 414401434210501. The reversal of 414401434210441 is 144012434104414.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 414401434210441 - 2⁵ = 414401434210409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414401434210441.

It is not an unprimeable number, because it can be changed into a prime (414401434214441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2011657447521 + ... + 2011657447726.

It is an arithmetic number, because the mean of its divisors is an integer number (104606187276448).

Almost surely, 2^{414401434210441} is an apocalyptic number.

It is an amenable number.

414401434210441 is a deficient number, since it is larger than the sum of its proper divisors (4023314895351).

414401434210441 is a wasteful number, since it uses less digits than its factorization.

414401434210441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023314895350.

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 414401434210441 its reverse (144012434104414), we get a palindrome (558413868314855).

The spelling of 414401434210441 in words is "four hundred fourteen trillion, four hundred one billion, four hundred thirty-four million, two hundred ten thousand, four hundred forty-one".