415113439744 has 160 divisors (see below), whose sum is σ = 928118632320. Its totient is φ = 184327077888.

The previous prime is 415113439733. The next prime is 415113439781. The reversal of 415113439744 is 447934311514.

It is a junction number, because it is equal to n+sod(n) for n = 415113439694 and 415113439703.

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 15 ways as a sum of consecutive naturals, for example, 42496749 + ... + 42506515.

It is an arithmetic number, because the mean of its divisors is an integer number (5800741452).

Almost surely, 2^415113439744 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 415113439744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464059316160).

415113439744 is an abundant number, since it is smaller than the sum of its proper divisors (513005192576).

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

415113439744 is a wasteful number, since it uses less digits than its factorization.

415113439744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10062 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 415113439744 in words is "four hundred fifteen billion, one hundred thirteen million, four hundred thirty-nine thousand, seven hundred forty-four".