412344132410322 has 320 divisors, whose sum is σ = 1115266059705600. Its totient is φ = 111545793349632.

The previous prime is 412344132410311. The next prime is 412344132410339. The reversal of 412344132410322 is 223014231443214.

412344132410322 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 4 + 4 + 1 + 324 + 1 + 0 + 322 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13915016818 + ... + 13915046450.

It is an arithmetic number, because the mean of its divisors is an integer number (3485206436580).

Almost surely, 2^{412344132410322} is an apocalyptic number.

412344132410322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 412344132410322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557633029852800).

412344132410322 is an abundant number, since it is smaller than the sum of its proper divisors (702921927295278).

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

412344132410322 is a wasteful number, since it uses less digits than its factorization.

412344132410322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31500 (or 31453 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 412344132410322 its reverse (223014231443214), we get a palindrome (635358363853536).

The spelling of 412344132410322 in words is "four hundred twelve trillion, three hundred forty-four billion, one hundred thirty-two million, four hundred ten thousand, three hundred twenty-two".