415460660112 has 200 divisors, whose sum is σ = 1232837989152. Its totient is φ = 134994470400.

The previous prime is 415460660009. The next prime is 415460660113. The reversal of 415460660112 is 211066064514.

415460660112 is a `hidden beast` number, since 4 + 1 + 5 + 46 + 0 + 6 + 601 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (415460660113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81348663 + ... + 81353769.

Almost surely, 2^415460660112 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 415460660112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616418994576).

415460660112 is an abundant number, since it is smaller than the sum of its proper divisors (817377329040).

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

415460660112 is a wasteful number, since it uses less digits than its factorization.

415460660112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6699 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 415460660112 in words is "four hundred fifteen billion, four hundred sixty million, six hundred sixty thousand, one hundred twelve".