404313040100 has 36 divisors (see below), whose sum is σ = 878443971300. Its totient is φ = 161525276160.

The previous prime is 404313040099. The next prime is 404313040111. The reversal of 404313040100 is 1040313404.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2671442596 + 401641597504 = 51686^2 + 633752^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2417945 + ... + 2579744.

It is an arithmetic number, because the mean of its divisors is an integer number (24401221425).

Almost surely, 2^404313040100 is an apocalyptic number.

It is an amenable number.

404313040100 is an abundant number, since it is smaller than the sum of its proper divisors (474130931200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404313040100 is a wasteful number, since it uses less digits than its factorization.

404313040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998512 (or 4998505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 404313040100 its reverse (1040313404), we get a palindrome (405353353504).

The spelling of 404313040100 in words is "four hundred four billion, three hundred thirteen million, forty thousand, one hundred".