412314412224 has 224 divisors, whose sum is σ = 1282300427520. Its totient is φ = 115272806400.

The previous prime is 412314412207. The next prime is 412314412259. The reversal of 412314412224 is 422214413214.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412314412191 and 412314412200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95023047 + ... + 95027385.

It is an arithmetic number, because the mean of its divisors is an integer number (5724555480).

Almost surely, 2^412314412224 is an apocalyptic number.

412314412224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412314412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641150213760).

412314412224 is an abundant number, since it is smaller than the sum of its proper divisors (869986015296).

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

412314412224 is a wasteful number, since it uses less digits than its factorization.

412314412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7829 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 412314412224 its reverse (422214413214), we get a palindrome (834528825438).

The spelling of 412314412224 in words is "four hundred twelve billion, three hundred fourteen million, four hundred twelve thousand, two hundred twenty-four".