201044340400 has 120 divisors (see below), whose sum is σ = 490820586464. Its totient is φ = 79127193600.

The previous prime is 201044340389. The next prime is 201044340403. The reversal of 201044340400 is 4043440102.

It is not an unprimeable number, because it can be changed into a prime (201044340403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6452860 + ... + 6483940.

Almost surely, 2^201044340400 is an apocalyptic number.

201044340400 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 201044340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245410293232).

201044340400 is an abundant number, since it is smaller than the sum of its proper divisors (289776246064).

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

201044340400 is a wasteful number, since it uses less digits than its factorization.

201044340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31359 (or 31348 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201044340400 its reverse (4043440102), we get a palindrome (205087780502).

The spelling of 201044340400 in words is "two hundred one billion, forty-four million, three hundred forty thousand, four hundred".