202041214400 has 42 divisors (see below), whose sum is σ = 497147667120. Its totient is φ = 80816485120.

The previous prime is 202041214393. The next prime is 202041214429. The reversal of 202041214400 is 4412140202.

202041214400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 63136280 + ... + 63139479.

Almost surely, 2^202041214400 is an apocalyptic number.

202041214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202041214400 is an abundant number, since it is smaller than the sum of its proper divisors (295106452720).

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

202041214400 is a wasteful number, since it uses less digits than its factorization.

202041214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126275781 (or 126275766 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202041214400 its reverse (4412140202), we get a palindrome (206453354602).

The spelling of 202041214400 in words is "two hundred two billion, forty-one million, two hundred fourteen thousand, four hundred".