412404132224 has 128 divisors (see below), whose sum is σ = 979243345920. Its totient is φ = 169278750720.

The previous prime is 412404132223. The next prime is 412404132229. The reversal of 412404132224 is 422231404214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412404132221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2617739 + ... + 2770805.

It is an arithmetic number, because the mean of its divisors is an integer number (7650338640).

Almost surely, 2^412404132224 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 412404132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489621672960).

412404132224 is an abundant number, since it is smaller than the sum of its proper divisors (566839213696).

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

412404132224 is a wasteful number, since it uses less digits than its factorization.

412404132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153216 (or 153204 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 412404132224 its reverse (422231404214), we get a palindrome (834635536438).

The spelling of 412404132224 in words is "four hundred twelve billion, four hundred four million, one hundred thirty-two thousand, two hundred twenty-four".