415164041160 has 128 divisors (see below), whose sum is σ = 1363357215360. Its totient is φ = 100302233600.

The previous prime is 415164041141. The next prime is 415164041177. The reversal of 415164041160 is 61140461514.

It is a super-2 number, since 2×415164041160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 149961 + ... + 923480.

It is an arithmetic number, because the mean of its divisors is an integer number (10651228245).

Almost surely, 2^415164041160 is an apocalyptic number.

415164041160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415164041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681678607680).

415164041160 is an abundant number, since it is smaller than the sum of its proper divisors (948193174200).

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

415164041160 is a wasteful number, since it uses less digits than its factorization.

415164041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073759 (or 1073755 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 415164041160 in words is "four hundred fifteen billion, one hundred sixty-four million, forty-one thousand, one hundred sixty".