413302203314 has 128 divisors (see below), whose sum is σ = 845665615872. Its totient is φ = 146277757440.

The previous prime is 413302203311. The next prime is 413302203361.

413302203314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413302203314² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (413302203311) 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 63 ways as a sum of consecutive naturals, for example, 71170199 + ... + 71176005.

It is an arithmetic number, because the mean of its divisors is an integer number (6606762624).

Almost surely, 2^413302203314 is an apocalyptic number.

413302203314 is an abundant number, since it is smaller than the sum of its proper divisors (432363412558).

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

413302203314 is a wasteful number, since it uses less digits than its factorization.

413302203314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 413302 and 203314, that added together give a palindrome (616616).

The spelling of 413302203314 in words is "four hundred thirteen billion, three hundred two million, two hundred three thousand, three hundred fourteen".