415165820850 has 144 divisors (see below), whose sum is σ = 1217103395040. Its totient is φ = 100622265600.

The previous prime is 415165820833. The next prime is 415165820851. The reversal of 415165820850 is 58028561514.

415165820850 is a `hidden beast` number, since 4 + 1 + 5 + 16 + 582 + 0 + 8 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 415165820796 and 415165820805.

It is not an unprimeable number, because it can be changed into a prime (415165820851) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29628646 + ... + 29642654.

It is an arithmetic number, because the mean of its divisors is an integer number (8452106910).

Almost surely, 2^415165820850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415165820850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608551697520).

415165820850 is an abundant number, since it is smaller than the sum of its proper divisors (801937574190).

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

415165820850 is a wasteful number, since it uses less digits than its factorization.

415165820850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20025 (or 20017 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 415165820850 in words is "four hundred fifteen billion, one hundred sixty-five million, eight hundred twenty thousand, eight hundred fifty".