4112492064912 has 1920 divisors, whose sum is σ = 16365581107200. Its totient is φ = 951035904000.

The previous prime is 4112492064911. The next prime is 4112492064937. The reversal of 4112492064912 is 2194602942114.

4112492064912 is a `hidden beast` number, since 4 + 1 + 12 + 492 + 0 + 64 + 91 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4112492064911) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 15175247337 + ... + 15175247607.

It is an arithmetic number, because the mean of its divisors is an integer number (8523740160).

Almost surely, 2^{4112492064912} is an apocalyptic number.

4112492064912 is a gapful number since it is divisible by the number (42) 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 4112492064912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8182790553600).

4112492064912 is an abundant number, since it is smaller than the sum of its proper divisors (12253089042288).

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

4112492064912 is a wasteful number, since it uses less digits than its factorization.

4112492064912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4112492064912 in words is "four trillion, one hundred twelve billion, four hundred ninety-two million, sixty-four thousand, nine hundred twelve".