201044046643200 has 2280 divisors, whose sum is σ = 810554077329920. Its totient is φ = 49075244236800.

The previous prime is 201044046643199. The next prime is 201044046643207. The reversal of 201044046643200 is 2346640440102.

201044046643200 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 4 + 0 + 4 + 6 + 643 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201044046643207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 312665702079 + ... + 312665702721.

Almost surely, 2^{201044046643200} is an apocalyptic number.

201044046643200 is a gapful number since it is divisible by the number (20) 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 201044046643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405277038664960).

201044046643200 is an abundant number, since it is smaller than the sum of its proper divisors (609510030686720).

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

201044046643200 is an frugal number, since it uses more digits than its factorization.

201044046643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 201044046643200 in words is "two hundred one trillion, forty-four billion, forty-six million, six hundred forty-three thousand, two hundred".