412938710800 has 480 divisors, whose sum is σ = 1331940464640. Its totient is φ = 119075020800.

The previous prime is 412938710771. The next prime is 412938710803. The reversal of 412938710800 is 8017839214.

It is not an unprimeable number, because it can be changed into a prime (412938710803) 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 95 ways as a sum of consecutive naturals, for example, 30885717 + ... + 30899083.

It is an arithmetic number, because the mean of its divisors is an integer number (2774875968).

Almost surely, 2^412938710800 is an apocalyptic number.

412938710800 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 412938710800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665970232320).

412938710800 is an abundant number, since it is smaller than the sum of its proper divisors (919001753840).

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

412938710800 is a wasteful number, since it uses less digits than its factorization.

412938710800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479 (or 13468 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 412938710800 in words is "four hundred twelve billion, nine hundred thirty-eight million, seven hundred ten thousand, eight hundred".