412909830144 has 480 divisors, whose sum is σ = 1416800985600. Its totient is φ = 117719433216.

The previous prime is 412909830133. The next prime is 412909830227. The reversal of 412909830144 is 441038909214.

412909830144 is a `hidden beast` number, since 412 + 9 + 0 + 98 + 3 + 0 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 412909830144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891813657 + ... + 891814119.

It is an arithmetic number, because the mean of its divisors is an integer number (2951668720).

Almost surely, 2^412909830144 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 412909830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708400492800).

412909830144 is an abundant number, since it is smaller than the sum of its proper divisors (1003891155456).

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

412909830144 is an frugal number, since it uses more digits than its factorization.

412909830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 412909830144 in words is "four hundred twelve billion, nine hundred nine million, eight hundred thirty thousand, one hundred forty-four".