201323450400 has 72 divisors (see below), whose sum is σ = 655307838864. Its totient is φ = 53686252800.

The previous prime is 201323450371. The next prime is 201323450407. The reversal of 201323450400 is 4054323102.

It is a super-2 number, since 2×201323450400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201323450407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41939986 + ... + 41944785.

It is an arithmetic number, because the mean of its divisors is an integer number (9101497762).

Almost surely, 2^201323450400 is an apocalyptic number.

201323450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201323450400 is an abundant number, since it is smaller than the sum of its proper divisors (453984388464).

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

201323450400 is a wasteful number, since it uses less digits than its factorization.

201323450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83884794 (or 83884781 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 201323450400 its reverse (4054323102), we get a palindrome (205377773502).

The spelling of 201323450400 in words is "two hundred one billion, three hundred twenty-three million, four hundred fifty thousand, four hundred".