201341414310 has 64 divisors (see below), whose sum is σ = 500412038400. Its totient is φ = 51784675712.

The previous prime is 201341414297. The next prime is 201341414311. The reversal of 201341414310 is 13414143102.

201341414310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201341414310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201341414311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701701 + ... + 946079.

It is an arithmetic number, because the mean of its divisors is an integer number (7818938100).

Almost surely, 2^201341414310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201341414310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250206019200).

201341414310 is an abundant number, since it is smaller than the sum of its proper divisors (299070624090).

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

201341414310 is a wasteful number, since it uses less digits than its factorization.

201341414310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245365.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201341414310 its reverse (13414143102), we get a palindrome (214755557412).

The spelling of 201341414310 in words is "two hundred one billion, three hundred forty-one million, four hundred fourteen thousand, three hundred ten".