412144133220 has 144 divisors (see below), whose sum is σ = 1307189100672. Its totient is φ = 104911994880.

The previous prime is 412144133213. The next prime is 412144133221. The reversal of 412144133220 is 22331441214.

412144133220 is a `hidden beast` number, since 4 + 1 + 21 + 4 + 413 + 3 + 220 = 666.

It is not an unprimeable number, because it can be changed into a prime (412144133221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931364 + ... + 2134116.

It is an arithmetic number, because the mean of its divisors is an integer number (9077702088).

Almost surely, 2^412144133220 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 412144133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653594550336).

412144133220 is an abundant number, since it is smaller than the sum of its proper divisors (895044967452).

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

412144133220 is a wasteful number, since it uses less digits than its factorization.

412144133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203282 (or 203277 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412144133220 its reverse (22331441214), we get a palindrome (434475574434).

The spelling of 412144133220 in words is "four hundred twelve billion, one hundred forty-four million, one hundred thirty-three thousand, two hundred twenty".