414244144001 has 4 divisors (see below), whose sum is σ = 414254448852. Its totient is φ = 414233839152.

The previous prime is 414244143917. The next prime is 414244144003. The reversal of 414244144001 is 100441442414.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7965384001 + 406278760000 = 89249^2 + 637400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414244144001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414244144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5091890 + ... + 5172603.

It is an arithmetic number, because the mean of its divisors is an integer number (103563612213).

Almost surely, 2^414244144001 is an apocalyptic number.

It is an amenable number.

414244144001 is a deficient number, since it is larger than the sum of its proper divisors (10304851).

414244144001 is a wasteful number, since it uses less digits than its factorization.

414244144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304850.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 414244144001 its reverse (100441442414), we get a palindrome (514685586415).

The spelling of 414244144001 in words is "four hundred fourteen billion, two hundred forty-four million, one hundred forty-four thousand, one".