404022444334101 has 48 divisors (see below), whose sum is σ = 614511170058240. Its totient is φ = 255085666624800.

The previous prime is 404022444334057. The next prime is 404022444334127. The reversal of 404022444334101 is 101433444220404.

404022444334101 is a `hidden beast` number, since 4 + 0 + 402 + 244 + 4 + 3 + 3 + 4 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 404022444334101 - 2¹⁸ = 404022444071957 is a prime.

It is a super-2 number, since 2×404022444334101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404022444334181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10548043516 + ... + 10548081818.

It is an arithmetic number, because the mean of its divisors is an integer number (12802316042880).

Almost surely, 2^{404022444334101} is an apocalyptic number.

It is an amenable number.

404022444334101 is a deficient number, since it is larger than the sum of its proper divisors (210488725724139).

404022444334101 is a wasteful number, since it uses less digits than its factorization.

404022444334101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57606 (or 57603 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 404022444334101 its reverse (101433444220404), we get a palindrome (505455888554505).

The spelling of 404022444334101 in words is "four hundred four trillion, twenty-two billion, four hundred forty-four million, three hundred thirty-four thousand, one hundred one".