415509212160 has 1760 divisors, whose sum is σ = 1826146713600. Its totient is φ = 90128941056.

The previous prime is 415509212141. The next prime is 415509212161. The reversal of 415509212160 is 61212905514.

415509212160 is a `hidden beast` number, since 4 + 1 + 550 + 9 + 21 + 21 + 60 = 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 (415509212161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3271726017 + ... + 3271726143.

It is an arithmetic number, because the mean of its divisors is an integer number (1037583360).

Almost surely, 2^415509212160 is an apocalyptic number.

415509212160 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 415509212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913073356800).

415509212160 is an abundant number, since it is smaller than the sum of its proper divisors (1410637501440).

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

415509212160 is a wasteful number, since it uses less digits than its factorization.

415509212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 415509212160 in words is "four hundred fifteen billion, five hundred nine million, two hundred twelve thousand, one hundred sixty".