413444400222001 has 16 divisors (see below), whose sum is σ = 424798834721296. Its totient is φ = 402099478615296.

The previous prime is 413444400221933. The next prime is 413444400222011. The reversal of 413444400222001 is 100222004444314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4150998760000 + 409293401462001 = 2037400^2 + 20231001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413444400222001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413444400222011) 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, 1217573095 + ... + 1217912611.

It is an arithmetic number, because the mean of its divisors is an integer number (26549927170081).

Almost surely, 2^{413444400222001} is an apocalyptic number.

It is an amenable number.

413444400222001 is a deficient number, since it is larger than the sum of its proper divisors (11354434499295).

413444400222001 is a wasteful number, since it uses less digits than its factorization.

413444400222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353428.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 413444400222001 its reverse (100222004444314), we get a palindrome (513666404666315).

The spelling of 413444400222001 in words is "four hundred thirteen trillion, four hundred forty-four billion, four hundred million, two hundred twenty-two thousand, one".