203402144000 has 576 divisors, whose sum is σ = 616427884800. Its totient is φ = 65912832000.

The previous prime is 203402143979. The next prime is 203402144009. The reversal of 203402144000 is 441204302.

203402144000 is digitally balanced in base 2, because in such base 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 (203402144009) 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 63 ways as a sum of consecutive naturals, for example, 113695106 + ... + 113696894.

It is an arithmetic number, because the mean of its divisors is an integer number (1070187300).

Almost surely, 2^203402144000 is an apocalyptic number.

203402144000 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 203402144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308213942400).

203402144000 is an abundant number, since it is smaller than the sum of its proper divisors (413025740800).

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

203402144000 is a wasteful number, since it uses less digits than its factorization.

203402144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 203402144000 its reverse (441204302), we get a palindrome (203843348302).

The spelling of 203402144000 in words is "two hundred three billion, four hundred two million, one hundred forty-four thousand".