413034431324420 has 24 divisors (see below), whose sum is σ = 881591523911448. Its totient is φ = 162505350028800.

The previous prime is 413034431324419. The next prime is 413034431324429. The reversal of 413034431324420 is 24423134430314.

It can be written as a sum of positive squares in 4 ways, for example, as 24955699642624 + 388078731681796 = 4995568^2 + 19699714^2 .

It is not an unprimeable number, because it can be changed into a prime (413034431324429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169276405061 + ... + 169276407500.

It is an arithmetic number, because the mean of its divisors is an integer number (36732980162977).

Almost surely, 2^{413034431324420} is an apocalyptic number.

It is an amenable number.

413034431324420 is an abundant number, since it is smaller than the sum of its proper divisors (468557092587028).

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

413034431324420 is a wasteful number, since it uses less digits than its factorization.

413034431324420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338552812631 (or 338552812629 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 413034431324420 its reverse (24423134430314), we get a palindrome (437457565754734).

The spelling of 413034431324420 in words is "four hundred thirteen trillion, thirty-four billion, four hundred thirty-one million, three hundred twenty-four thousand, four hundred twenty".