201221400233040 has 320 divisors, whose sum is σ = 704143487646720. Its totient is φ = 47111148564480.

The previous prime is 201221400233027. The next prime is 201221400233041. The reversal of 201221400233040 is 40332004122102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201221400233040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221400233041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145059 + ... + 20061501.

It is an arithmetic number, because the mean of its divisors is an integer number (2200448398896).

Almost surely, 2^{201221400233040} is an apocalyptic number.

201221400233040 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 201221400233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352071743823360).

201221400233040 is an abundant number, since it is smaller than the sum of its proper divisors (502922087413680).

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

201221400233040 is a wasteful number, since it uses less digits than its factorization.

201221400233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19916602 (or 19916596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201221400233040 its reverse (40332004122102), we get a palindrome (241553404355142).

The spelling of 201221400233040 in words is "two hundred one trillion, two hundred twenty-one billion, four hundred million, two hundred thirty-three thousand, forty".