4066296244200 has 672 divisors, whose sum is σ = 15021119985600. Its totient is φ = 1020366720000.

The previous prime is 4066296244151. The next prime is 4066296244229. The reversal of 4066296244200 is 24426926604.

4066296244200 is a `hidden beast` number, since 40 + 66 + 296 + 244 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 418295340 + ... + 418305060.

Almost surely, 2^{4066296244200} is an apocalyptic number.

4066296244200 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 4066296244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510559992800).

4066296244200 is an abundant number, since it is smaller than the sum of its proper divisors (10954823741400).

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

4066296244200 is a wasteful number, since it uses less digits than its factorization.

4066296244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9925 (or 9901 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4066296244200 in words is "four trillion, sixty-six billion, two hundred ninety-six million, two hundred forty-four thousand, two hundred".