413300142414 has 80 divisors (see below), whose sum is σ = 940232912256. Its totient is φ = 135665442000.

The previous prime is 413300142413. The next prime is 413300142427. The reversal of 413300142414 is 414241003314.

413300142414 is a `hidden beast` number, since 413 + 3 + 0 + 0 + 1 + 4 + 241 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413300142413) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 53734309 + ... + 53741999.

Almost surely, 2^413300142414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413300142414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470116456128).

413300142414 is an abundant number, since it is smaller than the sum of its proper divisors (526932769842).

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

413300142414 is a wasteful number, since it uses less digits than its factorization.

413300142414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 413300142414 its reverse (414241003314), we get a palindrome (827541145728).

The spelling of 413300142414 in words is "four hundred thirteen billion, three hundred million, one hundred forty-two thousand, four hundred fourteen".