4166856195744 has 288 divisors, whose sum is σ = 12255980728320. Its totient is φ = 1238402880000.

The previous prime is 4166856195683. The next prime is 4166856195787. The reversal of 4166856195744 is 4475916586614.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138552229 + ... + 138582299.

It is an arithmetic number, because the mean of its divisors is an integer number (42555488640).

Almost surely, 2^{4166856195744} is an apocalyptic number.

4166856195744 is a gapful number since it is divisible by the number (44) 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 4166856195744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127990364160).

4166856195744 is an abundant number, since it is smaller than the sum of its proper divisors (8089124532576).

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

4166856195744 is a wasteful number, since it uses less digits than its factorization.

4166856195744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30336 (or 30317 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 4166856195744 in words is "four trillion, one hundred sixty-six billion, eight hundred fifty-six million, one hundred ninety-five thousand, seven hundred forty-four".