415013444144 has 80 divisors (see below), whose sum is σ = 877977139200. Its totient is φ = 188888364288.

The previous prime is 415013444143. The next prime is 415013444159. The reversal of 415013444144 is 441444310514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (415013444143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13771397 + ... + 13801499.

It is an arithmetic number, because the mean of its divisors is an integer number (10974714240).

Almost surely, 2^415013444144 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 415013444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438988569600).

415013444144 is an abundant number, since it is smaller than the sum of its proper divisors (462963695056).

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

415013444144 is a wasteful number, since it uses less digits than its factorization.

415013444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31042 (or 31036 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 415013444144 its reverse (441444310514), we get a palindrome (856457754658).

The spelling of 415013444144 in words is "four hundred fifteen billion, thirteen million, four hundred forty-four thousand, one hundred forty-four".