404040042100 has 36 divisors (see below), whose sum is σ = 928341418284. Its totient is φ = 152109191680.

The previous prime is 404040042089. The next prime is 404040042139. The reversal of 404040042100 is 1240040404.

It can be written as a sum of positive squares in 6 ways, for example, as 4914290404 + 399125751696 = 70102^2 + 631764^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118833607 + ... + 118837006.

It is an arithmetic number, because the mean of its divisors is an integer number (25787261619).

Almost surely, 2^404040042100 is an apocalyptic number.

It is an amenable number.

404040042100 is an abundant number, since it is smaller than the sum of its proper divisors (524301376184).

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

404040042100 is a wasteful number, since it uses less digits than its factorization.

404040042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237670644 (or 237670637 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 404040042100 its reverse (1240040404), we get a palindrome (405280082504).

The spelling of 404040042100 in words is "four hundred four billion, forty million, forty-two thousand, one hundred".