201342441300 has 288 divisors, whose sum is σ = 782167271424. Its totient is φ = 38619072000.

The previous prime is 201342441281. The next prime is 201342441317. The reversal of 201342441300 is 3144243102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34936 + ... + 635535.

Almost surely, 2^201342441300 is an apocalyptic number.

201342441300 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 201342441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391083635712).

201342441300 is an abundant number, since it is smaller than the sum of its proper divisors (580824830124).

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

201342441300 is a wasteful number, since it uses less digits than its factorization.

201342441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670519 (or 670512 counting only the distinct ones).

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

Adding to 201342441300 its reverse (3144243102), we get a palindrome (204486684402).

The spelling of 201342441300 in words is "two hundred one billion, three hundred forty-two million, four hundred forty-one thousand, three hundred".