202442400200 has 96 divisors (see below), whose sum is σ = 475693113960. Its totient is φ = 80115456000.

The previous prime is 202442400191. The next prime is 202442400227. The reversal of 202442400200 is 2004244202.

It can be written as a sum of positive squares in 12 ways, for example, as 15176761636 + 187265638564 = 123194^2 + 432742^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35407742 + ... + 35413458.

Almost surely, 2^202442400200 is an apocalyptic number.

202442400200 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 202442400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237846556980).

202442400200 is an abundant number, since it is smaller than the sum of its proper divisors (273250713760).

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

202442400200 is a wasteful number, since it uses less digits than its factorization.

202442400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 202442400200 its reverse (2004244202), we get a palindrome (204446644402).

The spelling of 202442400200 in words is "two hundred two billion, four hundred forty-two million, four hundred thousand, two hundred".