202988040400 has 120 divisors (see below), whose sum is σ = 509126844600. Its totient is φ = 77675673600.

The previous prime is 202988040397. The next prime is 202988040413. The reversal of 202988040400 is 4040889202.

It can be written as a sum of positive squares in 12 ways, for example, as 25042429504 + 177945610896 = 158248^2 + 421836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202988040400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184130 + ... + 1344670.

It is an arithmetic number, because the mean of its divisors is an integer number (4242723705).

Almost surely, 2^202988040400 is an apocalyptic number.

202988040400 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 202988040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254563422300).

202988040400 is an abundant number, since it is smaller than the sum of its proper divisors (306138804200).

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

202988040400 is a wasteful number, since it uses less digits than its factorization.

202988040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160697 (or 160686 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 202988040400 in words is "two hundred two billion, nine hundred eighty-eight million, forty thousand, four hundred".