4197204185000 has 160 divisors (see below), whose sum is σ = 9925542091080. Its totient is φ = 1663334400000.

The previous prime is 4197204184973. The next prime is 4197204185003. The reversal of 4197204185000 is 5814027914.

It can be written as a sum of positive squares in 20 ways, for example, as 469578526564 + 3727625658436 = 685258^2 + 1930706^2 .

It is not an unprimeable number, because it can be changed into a prime (4197204185003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237376160 + ... + 237393840.

Almost surely, 2^{4197204185000} is an apocalyptic number.

4197204185000 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 4197204185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4962771045540).

4197204185000 is an abundant number, since it is smaller than the sum of its proper divisors (5728337906080).

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

4197204185000 is a wasteful number, since it uses less digits than its factorization.

4197204185000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18145 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 4197204185000 in words is "four trillion, one hundred ninety-seven billion, two hundred four million, one hundred eighty-five thousand".