412420132410 has 256 divisors, whose sum is σ = 1198653603840. Its totient is φ = 89480079360.

The previous prime is 412420132381. The next prime is 412420132417. The reversal of 412420132410 is 14231024214.

It is not an unprimeable number, because it can be changed into a prime (412420132417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25264231 + ... + 25280549.

It is an arithmetic number, because the mean of its divisors is an integer number (4682240640).

Almost surely, 2^412420132410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412420132410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599326801920).

412420132410 is an abundant number, since it is smaller than the sum of its proper divisors (786233471430).

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

412420132410 is a wasteful number, since it uses less digits than its factorization.

412420132410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16533.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 412420132410 its reverse (14231024214), we get a palindrome (426651156624).

The spelling of 412420132410 in words is "four hundred twelve billion, four hundred twenty million, one hundred thirty-two thousand, four hundred ten".