203423142400 has 240 divisors, whose sum is σ = 538431178824. Its totient is φ = 75895930880.

The previous prime is 203423142359. The next prime is 203423142407. The reversal of 203423142400 is 4241324302.

It is a happy number.

203423142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 8793938176 + 194629204224 = 93776^2 + 441168^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (203423142407) 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 23 ways as a sum of consecutive naturals, for example, 24584664 + ... + 24592936.

Almost surely, 2^203423142400 is an apocalyptic number.

203423142400 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 203423142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269215589412).

203423142400 is an abundant number, since it is smaller than the sum of its proper divisors (335008036424).

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

203423142400 is a wasteful number, since it uses less digits than its factorization.

203423142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8431 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 203423142400 its reverse (4241324302), we get a palindrome (207664466702).

It can be divided in two parts, 2034 and 23142400, that multiplied together give a square (47071641600 = 216960²).

The spelling of 203423142400 in words is "two hundred three billion, four hundred twenty-three million, one hundred forty-two thousand, four hundred".