413310105504 has 144 divisors (see below), whose sum is σ = 1232801676288. Its totient is φ = 131194308096.

The previous prime is 413310105469. The next prime is 413310105553. The reversal of 413310105504 is 405501013314.

It is a happy number.

413310105504 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 101 + 0 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×413310105504² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88209 + ... + 913455.

It is an arithmetic number, because the mean of its divisors is an integer number (8561122752).

Almost surely, 2^413310105504 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 413310105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616400838144).

413310105504 is an abundant number, since it is smaller than the sum of its proper divisors (819491570784).

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

413310105504 is a wasteful number, since it uses less digits than its factorization.

413310105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825347 (or 825336 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 413310105504 its reverse (405501013314), we get a palindrome (818811118818).

The spelling of 413310105504 in words is "four hundred thirteen billion, three hundred ten million, one hundred five thousand, five hundred four".