412848932800 has 336 divisors, whose sum is σ = 1119524060160. Its totient is φ = 149150453760.

The previous prime is 412848932747. The next prime is 412848932833. The reversal of 412848932800 is 8239848214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260800809 + ... + 260802391.

Almost surely, 2^412848932800 is an apocalyptic number.

412848932800 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 412848932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559762030080).

412848932800 is an abundant number, since it is smaller than the sum of its proper divisors (706675127360).

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

412848932800 is a wasteful number, since it uses less digits than its factorization.

412848932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 412848932800 in words is "four hundred twelve billion, eight hundred forty-eight million, nine hundred thirty-two thousand, eight hundred".