201045196800 has 1440 divisors, whose sum is σ = 877631328000. Its totient is φ = 45086146560.

The previous prime is 201045196787. The next prime is 201045196801. The reversal of 201045196800 is 8691540102.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201045196801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3793305574 + ... + 3793305626.

It is an arithmetic number, because the mean of its divisors is an integer number (609466200).

Almost surely, 2^201045196800 is an apocalyptic number.

201045196800 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 201045196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438815664000).

201045196800 is an abundant number, since it is smaller than the sum of its proper divisors (676586131200).

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

201045196800 is an frugal number, since it uses more digits than its factorization.

201045196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 201045196800 in words is "two hundred one billion, forty-five million, one hundred ninety-six thousand, eight hundred".