415820068312 has 128 divisors (see below), whose sum is σ = 885427200000. Its totient is φ = 181426988160.

The previous prime is 415820068309. The next prime is 415820068331. The reversal of 415820068312 is 213860028514.

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 31 ways as a sum of consecutive naturals, for example, 118837939 + ... + 118841437.

It is an arithmetic number, because the mean of its divisors is an integer number (6917400000).

Almost surely, 2^415820068312 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 415820068312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600000).

415820068312 is an abundant number, since it is smaller than the sum of its proper divisors (469607131688).

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

415820068312 is a wasteful number, since it uses less digits than its factorization.

415820068312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 415820068312 in words is "four hundred fifteen billion, eight hundred twenty million, sixty-eight thousand, three hundred twelve".