415144414404 has 108 divisors (see below), whose sum is σ = 1137078581184. Its totient is φ = 132364693296.

The previous prime is 415144414379. The next prime is 415144414411. The reversal of 415144414404 is 404414441514.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259729 + ... + 947495.

Almost surely, 2^415144414404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415144414404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568539290592).

415144414404 is an abundant number, since it is smaller than the sum of its proper divisors (721934166780).

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

415144414404 is an equidigital number, since it uses as much as digits as its factorization.

415144414404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687818 (or 687795 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 415144414404 its reverse (404414441514), we get a palindrome (819558855918).

The spelling of 415144414404 in words is "four hundred fifteen billion, one hundred forty-four million, four hundred fourteen thousand, four hundred four".