417819804012 has 96 divisors (see below), whose sum is σ = 1182993154560. Its totient is φ = 126749206080.

The previous prime is 417819804011. The next prime is 417819804023. The reversal of 417819804012 is 210408918714.

417819804012 is a `hidden beast` number, since 417 + 8 + 198 + 0 + 40 + 1 + 2 = 666.

It is a super-2 number, since 2×417819804012² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (417819804011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996038 + ... + 2195405.

It is an arithmetic number, because the mean of its divisors is an integer number (12322845360).

Almost surely, 2^417819804012 is an apocalyptic number.

It is an amenable number.

417819804012 is an abundant number, since it is smaller than the sum of its proper divisors (765173350548).

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

417819804012 is a wasteful number, since it uses less digits than its factorization.

417819804012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191540 (or 4191532 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 417819804012 in words is "four hundred seventeen billion, eight hundred nineteen million, eight hundred four thousand, twelve".