404114000353 has 12 divisors (see below), whose sum is σ = 481557452292. Its totient is φ = 337935050880.

The previous prime is 404114000317. The next prime is 404114000357. The reversal of 404114000353 is 353000411404.

It can be written as a sum of positive squares in 2 ways, for example, as 178576391889 + 225537608464 = 422583^2 + 474908^2 .

It is not a de Polignac number, because 404114000353 - 2¹⁷ = 404113869281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404114000357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100573900 + ... + 100577917.

It is an arithmetic number, because the mean of its divisors is an integer number (40129787691).

Almost surely, 2^404114000353 is an apocalyptic number.

It is an amenable number.

404114000353 is a deficient number, since it is larger than the sum of its proper divisors (77443451939).

404114000353 is a wasteful number, since it uses less digits than its factorization.

404114000353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201151872 (or 201151865 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 404114000353 its reverse (353000411404), we get a palindrome (757114411757).

The spelling of 404114000353 in words is "four hundred four billion, one hundred fourteen million, three hundred fifty-three", and thus it is an aban number.