412514948016 has 200 divisors, whose sum is σ = 1217069205264. Its totient is φ = 134866598400.

The previous prime is 412514947997. The next prime is 412514948057. The reversal of 412514948016 is 610849415214.

412514948016 is a `hidden beast` number, since 4 + 1 + 25 + 149 + 480 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13991146 + ... + 14020598.

Almost surely, 2^412514948016 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 412514948016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608534602632).

412514948016 is an abundant number, since it is smaller than the sum of its proper divisors (804554257248).

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

412514948016 is a wasteful number, since it uses less digits than its factorization.

412514948016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29681 (or 29666 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 412514948016 in words is "four hundred twelve billion, five hundred fourteen million, nine hundred forty-eight thousand, sixteen".