413013330324 has 180 divisors, whose sum is σ = 1262923601940. Its totient is φ = 117351037440.

The previous prime is 413013330271. The next prime is 413013330347. The reversal of 413013330324 is 423033310314.

413013330324 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 1 + 3 + 330 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184607715600 + 228405614724 = 429660^2 + 477918^2 .

It is a super-2 number, since 2×413013330324² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2801692 + ... + 2945420.

It is an arithmetic number, because the mean of its divisors is an integer number (7016242233).

Almost surely, 2^413013330324 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 413013330324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631461800970).

413013330324 is an abundant number, since it is smaller than the sum of its proper divisors (849910271616).

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

413013330324 is a wasteful number, since it uses less digits than its factorization.

413013330324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143940 (or 143922 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 413013330324 its reverse (423033310314), we get a palindrome (836046640638).

The spelling of 413013330324 in words is "four hundred thirteen billion, thirteen million, three hundred thirty thousand, three hundred twenty-four".