20200144430400 has 252 divisors, whose sum is σ = 72845868670176. Its totient is φ = 4897004569600.

The previous prime is 20200144430393. The next prime is 20200144430447. The reversal of 20200144430400 is 403444100202.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16809132 + ... + 17970731.

Almost surely, 2^{20200144430400} is an apocalyptic number.

20200144430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200144430400 is an abundant number, since it is smaller than the sum of its proper divisors (52645724239776).

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

20200144430400 is a wasteful number, since it uses less digits than its factorization.

20200144430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34779910 (or 34779884 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20200144430400 its reverse (403444100202), we get a palindrome (20603588530602).

The spelling of 20200144430400 in words is "twenty trillion, two hundred billion, one hundred forty-four million, four hundred thirty thousand, four hundred".