404442433201 has 16 divisors (see below), whose sum is σ = 419175115344. Its totient is φ = 389911947264.

The previous prime is 404442433181. The next prime is 404442433217. The reversal of 404442433201 is 102334244404.

It can be written as a sum of positive squares in 8 ways, for example, as 4392508176 + 400049925025 = 66276^2 + 632495^2 .

It is a cyclic number.

It is not a de Polignac number, because 404442433201 - 2²⁷ = 404308215473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404442433261) 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, 16013155 + ... + 16038391.

It is an arithmetic number, because the mean of its divisors is an integer number (26198444709).

Almost surely, 2^404442433201 is an apocalyptic number.

It is an amenable number.

404442433201 is a deficient number, since it is larger than the sum of its proper divisors (14732682143).

404442433201 is a wasteful number, since it uses less digits than its factorization.

404442433201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29220.

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 404442433201 its reverse (102334244404), we get a palindrome (506776677605).

The spelling of 404442433201 in words is "four hundred four billion, four hundred forty-two million, four hundred thirty-three thousand, two hundred one".