201231430400 has 864 divisors, whose sum is σ = 677542634496. Its totient is φ = 57139200000.

The previous prime is 201231430399. The next prime is 201231430403. The reversal of 201231430400 is 4034132102.

201231430400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (201231430403) 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 95 ways as a sum of consecutive naturals, for example, 647046245 + ... + 647046555.

It is an arithmetic number, because the mean of its divisors is an integer number (784192864).

Almost surely, 2^201231430400 is an apocalyptic number.

201231430400 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 201231430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338771317248).

201231430400 is an abundant number, since it is smaller than the sum of its proper divisors (476311204096).

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

201231430400 is a wasteful number, since it uses less digits than its factorization.

201231430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 201231430400 its reverse (4034132102), we get a palindrome (205265562502).

The spelling of 201231430400 in words is "two hundred one billion, two hundred thirty-one million, four hundred thirty thousand, four hundred".