404123344414201 has 16 divisors (see below), whose sum is σ = 404512174438848. Its totient is φ = 403734784320000.

The previous prime is 404123344414169. The next prime is 404123344414213. The reversal of 404123344414201 is 102414443321404.

It is a cyclic number.

It is not a de Polignac number, because 404123344414201 - 2⁵ = 404123344414169 is a prime.

It is a super-3 number, since 3×404123344414201³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404123344414271) 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, 44897600701 + ... + 44897609701.

It is an arithmetic number, because the mean of its divisors is an integer number (25282010902428).

Almost surely, 2^{404123344414201} is an apocalyptic number.

It is an amenable number.

404123344414201 is a deficient number, since it is larger than the sum of its proper divisors (388830024647).

404123344414201 is a wasteful number, since it uses less digits than its factorization.

404123344414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19752.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 404123344414201 its reverse (102414443321404), we get a palindrome (506537787735605).

The spelling of 404123344414201 in words is "four hundred four trillion, one hundred twenty-three billion, three hundred forty-four million, four hundred fourteen thousand, two hundred one".