201323323344400 has 240 divisors, whose sum is σ = 516752107444800. Its totient is φ = 75228377978880.

The previous prime is 201323323344361. The next prime is 201323323344439. The reversal of 201323323344400 is 4443323323102.

It is an interprime number because it is at equal distance from previous prime (201323323344361) and next prime (201323323344439).

It is a super-2 number, since 2×201323323344400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75516559 + ... + 78137041.

It is an arithmetic number, because the mean of its divisors is an integer number (2153133781020).

Almost surely, 2^{201323323344400} is an apocalyptic number.

201323323344400 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 201323323344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258376053722400).

201323323344400 is an abundant number, since it is smaller than the sum of its proper divisors (315428784100400).

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

201323323344400 is a wasteful number, since it uses less digits than its factorization.

201323323344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620746 (or 2620735 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 201323323344400 its reverse (4443323323102), we get a palindrome (205766646667502).

The spelling of 201323323344400 in words is "two hundred one trillion, three hundred twenty-three billion, three hundred twenty-three million, three hundred forty-four thousand, four hundred".