414401344001 has 4 divisors (see below), whose sum is σ = 414402750000. Its totient is φ = 414399938004.

The previous prime is 414401343989. The next prime is 414401344009. The reversal of 414401344001 is 100443104414.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 414401344001 - 2²² = 414397149697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414401344009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72251 + ... + 913248.

It is an arithmetic number, because the mean of its divisors is an integer number (103600687500).

Almost surely, 2^414401344001 is an apocalyptic number.

It is an amenable number.

414401344001 is a deficient number, since it is larger than the sum of its proper divisors (1405999).

414401344001 is an equidigital number, since it uses as much as digits as its factorization.

414401344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405998.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414401344001 its reverse (100443104414), we get a palindrome (514844448415).

The spelling of 414401344001 in words is "four hundred fourteen billion, four hundred one million, three hundred forty-four thousand, one".