100400444404 has 48 divisors (see below), whose sum is σ = 200937804480. Its totient is φ = 43511247360.

The previous prime is 100400444401. The next prime is 100400444413. The reversal of 100400444404 is 404444004001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100400444401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 338002 + ... + 561289.

It is an arithmetic number, because the mean of its divisors is an integer number (4186204260).

Almost surely, 2^100400444404 is an apocalyptic number.

It is an amenable number.

100400444404 is an abundant number, since it is smaller than the sum of its proper divisors (100537360076).

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

100400444404 is a wasteful number, since it uses less digits than its factorization.

100400444404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899440 (or 899438 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 100400444404 its reverse (404444004001), we get a palindrome (504844448405).

The spelling of 100400444404 in words is "one hundred billion, four hundred million, four hundred forty-four thousand, four hundred four".