413021324010 has 128 divisors (see below), whose sum is σ = 1078377670656. Its totient is φ = 100958457600.

The previous prime is 413021324003. The next prime is 413021324057. The reversal of 413021324010 is 10423120314.

It is a super-2 number, since 2×413021324010² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 1441185 + ... + 1703835.

It is an arithmetic number, because the mean of its divisors is an integer number (8424825552).

Almost surely, 2^413021324010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413021324010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539188835328).

413021324010 is an abundant number, since it is smaller than the sum of its proper divisors (665356346646).

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

413021324010 is a wasteful number, since it uses less digits than its factorization.

413021324010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262780.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 413021324010 its reverse (10423120314), we get a palindrome (423444444324).

The spelling of 413021324010 in words is "four hundred thirteen billion, twenty-one million, three hundred twenty-four thousand, ten".