200411441200400 has 30 divisors (see below), whose sum is σ = 481488487484922. Its totient is φ = 80164576480000.

The previous prime is 200411441200391. The next prime is 200411441200423. The reversal of 200411441200400 is 4002144114002.

200411441200400 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 3 ways, for example, as 2170447883536 + 198240993316864 = 1473244^2 + 14079808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250514301101 + ... + 250514301900.

Almost surely, 2^{200411441200400} is an apocalyptic number.

200411441200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200411441200400 is an abundant number, since it is smaller than the sum of its proper divisors (281077046284522).

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

200411441200400 is a wasteful number, since it uses less digits than its factorization.

200411441200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501028603019 (or 501028603008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 200411441200400 its reverse (4002144114002), we get a palindrome (204413585314402).

The spelling of 200411441200400 in words is "two hundred trillion, four hundred eleven billion, four hundred forty-one million, two hundred thousand, four hundred".