414218495080 has 128 divisors (see below), whose sum is σ = 1018447466400. Its totient is φ = 150696640512.

The previous prime is 414218495063. The next prime is 414218495099. The reversal of 414218495080 is 80594812414.

It can be written as a sum of positive squares in 16 ways, for example, as 17386532164 + 396831962916 = 131858^2 + 629946^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414218495080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42396436 + ... + 42406204.

Almost surely, 2^414218495080 is an apocalyptic number.

414218495080 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 414218495080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509223733200).

414218495080 is an abundant number, since it is smaller than the sum of its proper divisors (604228971320).

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

414218495080 is a wasteful number, since it uses less digits than its factorization.

414218495080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983 (or 10979 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 414218495080 in words is "four hundred fourteen billion, two hundred eighteen million, four hundred ninety-five thousand, eighty".