4012471565856 has 576 divisors, whose sum is σ = 13593275055360. Its totient is φ = 1110107750400.

The previous prime is 4012471565831. The next prime is 4012471565857. The reversal of 4012471565856 is 6585651742104.

4012471565856 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 4 + 7 + 1 + 56 + 585 + 6 = 666.

4012471565856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4012471565857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2124123760 + ... + 2124125648.

It is an arithmetic number, because the mean of its divisors is an integer number (23599435860).

Almost surely, 2^{4012471565856} is an apocalyptic number.

4012471565856 is a gapful number since it is divisible by the number (46) 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 4012471565856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796637527680).

4012471565856 is an abundant number, since it is smaller than the sum of its proper divisors (9580803489504).

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

4012471565856 is a wasteful number, since it uses less digits than its factorization.

4012471565856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 4012471565856 in words is "four trillion, twelve billion, four hundred seventy-one million, five hundred sixty-five thousand, eight hundred fifty-six".