4166600435712 has 1440 divisors, whose sum is σ = 15015876876000. Its totient is φ = 1140725514240.

The previous prime is 4166600435671. The next prime is 4166600435731. The reversal of 4166600435712 is 2175340066614.

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 119 ways as a sum of consecutive naturals, for example, 18194761614 + ... + 18194761842.

It is an arithmetic number, because the mean of its divisors is an integer number (10427692275).

Almost surely, 2^{4166600435712} 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 4166600435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507938438000).

4166600435712 is an abundant number, since it is smaller than the sum of its proper divisors (10849276440288).

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

4166600435712 is a wasteful number, since it uses less digits than its factorization.

4166600435712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4166600435712 in words is "four trillion, one hundred sixty-six billion, six hundred million, four hundred thirty-five thousand, seven hundred twelve".