201004414300 has 144 divisors (see below), whose sum is σ = 475468005600. Its totient is φ = 73466265600.

The previous prime is 201004414279. The next prime is 201004414301. The reversal of 201004414300 is 3414400102.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201004414301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96589260 + ... + 96591340.

It is an arithmetic number, because the mean of its divisors is an integer number (3301861150).

Almost surely, 2^201004414300 is an apocalyptic number.

201004414300 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 201004414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237734002800).

201004414300 is an abundant number, since it is smaller than the sum of its proper divisors (274463591300).

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

201004414300 is a wasteful number, since it uses less digits than its factorization.

201004414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 201004414300 its reverse (3414400102), we get a palindrome (204418814402).

The spelling of 201004414300 in words is "two hundred one billion, four million, four hundred fourteen thousand, three hundred".