413223003144 has 256 divisors, whose sum is σ = 1373264179200. Its totient is φ = 112566744576.

The previous prime is 413223003139. The next prime is 413223003199. The reversal of 413223003144 is 441300322314.

413223003144 is a `hidden beast` number, since 4 + 1 + 322 + 300 + 31 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10865907 + ... + 10903869.

It is an arithmetic number, because the mean of its divisors is an integer number (5364313200).

Almost surely, 2^413223003144 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 413223003144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686632089600).

413223003144 is an abundant number, since it is smaller than the sum of its proper divisors (960041176056).

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

413223003144 is a wasteful number, since it uses less digits than its factorization.

413223003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38321 (or 38311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 413223003144 its reverse (441300322314), we get a palindrome (854523325458).

The spelling of 413223003144 in words is "four hundred thirteen billion, two hundred twenty-three million, three thousand, one hundred forty-four".