4166568201600 has 1728 divisors, whose sum is σ = 18432614403840. Its totient is φ = 910322012160.

The previous prime is 4166568201569. The next prime is 4166568201637. The reversal of 4166568201600 is 61028656614.

4166568201600 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 568 + 20 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2879452077 + ... + 2879453523.

Almost surely, 2^{4166568201600} is an apocalyptic number.

4166568201600 is a gapful number since it is divisible by the number (40) 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 4166568201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216307201920).

4166568201600 is an abundant number, since it is smaller than the sum of its proper divisors (14266046202240).

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

4166568201600 is a wasteful number, since it uses less digits than its factorization.

4166568201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4166568201600 in words is "four trillion, one hundred sixty-six billion, five hundred sixty-eight million, two hundred one thousand, six hundred".