412488129280 has 288 divisors, whose sum is σ = 1034708774400. Its totient is φ = 157414195200.

The previous prime is 412488129259. The next prime is 412488129283. The reversal of 412488129280 is 82921884214.

It is a happy number.

It is a super-3 number, since 3×412488129280³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (412488129283) 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 31 ways as a sum of consecutive naturals, for example, 861144081 + ... + 861144559.

It is an arithmetic number, because the mean of its divisors is an integer number (3592738800).

Almost surely, 2^412488129280 is an apocalyptic number.

412488129280 is a gapful number since it is divisible by the number (40) 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 412488129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517354387200).

412488129280 is an abundant number, since it is smaller than the sum of its proper divisors (622220645120).

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

412488129280 is a wasteful number, since it uses less digits than its factorization.

412488129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 412488129280 in words is "four hundred twelve billion, four hundred eighty-eight million, one hundred twenty-nine thousand, two hundred eighty".