412310340344 has 128 divisors (see below), whose sum is σ = 961613493120. Its totient is φ = 161674444800.

The previous prime is 412310340341. The next prime is 412310340353. The reversal of 412310340344 is 443043013214.

It is a happy number.

It is a super-2 number, since 2×412310340344² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412310340341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46526474 + ... + 46535334.

It is an arithmetic number, because the mean of its divisors is an integer number (7512605415).

Almost surely, 2^412310340344 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 412310340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480806746560).

412310340344 is an abundant number, since it is smaller than the sum of its proper divisors (549303152776).

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

412310340344 is a wasteful number, since it uses less digits than its factorization.

412310340344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10249 (or 10245 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 412310340344 its reverse (443043013214), we get a palindrome (855353353558).

The spelling of 412310340344 in words is "four hundred twelve billion, three hundred ten million, three hundred forty thousand, three hundred forty-four".