413223023102344 has 288 divisors, whose sum is σ = 979089175468800. Its totient is φ = 162948000983040.

The previous prime is 413223023102327. The next prime is 413223023102347. The reversal of 413223023102344 is 443201320322314.

It is not an unprimeable number, because it can be changed into a prime (413223023102347) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91441250917 + ... + 91441255435.

It is an arithmetic number, because the mean of its divisors is an integer number (3399615192600).

Almost surely, 2^{413223023102344} 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 413223023102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489544587734400).

413223023102344 is an abundant number, since it is smaller than the sum of its proper divisors (565866152366456).

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

413223023102344 is a wasteful number, since it uses less digits than its factorization.

413223023102344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 413223023102344 its reverse (443201320322314), we get a palindrome (856424343424658).

The spelling of 413223023102344 in words is "four hundred thirteen trillion, two hundred twenty-three billion, twenty-three million, one hundred two thousand, three hundred forty-four".