412980706828800 has 7200 divisors, whose sum is σ = 1912737536962560. Its totient is φ = 87796887552000.

The previous prime is 412980706828799. The next prime is 412980706828847. The reversal of 412980706828800 is 8828607089214.

412980706828800 is a `hidden beast` number, since 4 + 1 + 298 + 0 + 7 + 0 + 68 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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 719 ways as a sum of consecutive naturals, for example, 13321958284785 + ... + 13321958284815.

Almost surely, 2^{412980706828800} is an apocalyptic number.

412980706828800 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 412980706828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956368768481280).

412980706828800 is an abundant number, since it is smaller than the sum of its proper divisors (1499756830133760).

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

412980706828800 is an equidigital number, since it uses as much as digits as its factorization.

412980706828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 412980706828800 in words is "four hundred twelve trillion, nine hundred eighty billion, seven hundred six million, eight hundred twenty-eight thousand, eight hundred".