200001241200400 has 60 divisors (see below), whose sum is σ = 480608614622500. Its totient is φ = 79982909360640.

The previous prime is 200001241200377. The next prime is 200001241200401. The reversal of 200001241200400 is 4002142100002.

It can be written as a sum of positive squares in 6 ways, for example, as 5386688213776 + 194614552986624 = 2320924^2 + 13950432^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (200001241200401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53137875 + ... + 56777074.

Almost surely, 2^{200001241200400} is an apocalyptic number.

200001241200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001241200400 is an abundant number, since it is smaller than the sum of its proper divisors (280607373422100).

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

200001241200400 is a wasteful number, since it uses less digits than its factorization.

200001241200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109919516 (or 109919505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200001241200400 its reverse (4002142100002), we get a palindrome (204003383300402).

The spelling of 200001241200400 in words is "two hundred trillion, one billion, two hundred forty-one million, two hundred thousand, four hundred".