201324000000340 has 96 divisors (see below), whose sum is σ = 494514872248320. Its totient is φ = 67406414253696.

The previous prime is 201324000000307. The next prime is 201324000000341. The reversal of 201324000000340 is 43000000423102.

It is a super-2 number, since 2×201324000000340² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201324000000341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26213059 + ... + 33011701.

It is an arithmetic number, because the mean of its divisors is an integer number (5151196585920).

Almost surely, 2^{201324000000340} is an apocalyptic number.

201324000000340 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 201324000000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247257436124160).

201324000000340 is an abundant number, since it is smaller than the sum of its proper divisors (293190872247980).

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

201324000000340 is a wasteful number, since it uses less digits than its factorization.

201324000000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803621 (or 6803619 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 201324000000340 its reverse (43000000423102), we get a palindrome (244324000423442).

The spelling of 201324000000340 in words is "two hundred one trillion, three hundred twenty-four billion, three hundred forty", and thus it is an aban number.