202001400304000 has 1024 divisors, whose sum is σ = 589504275360000. Its totient is φ = 68023812096000.

The previous prime is 202001400303977. The next prime is 202001400304061. The reversal of 202001400304000 is 403004100202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48593069922 + ... + 48593074078.

Almost surely, 2^{202001400304000} is an apocalyptic number.

202001400304000 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 202001400304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294752137680000).

202001400304000 is an abundant number, since it is smaller than the sum of its proper divisors (387502875056000).

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

202001400304000 is a wasteful number, since it uses less digits than its factorization.

202001400304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202001400304000 its reverse (403004100202), we get a palindrome (202404404404202).

The spelling of 202001400304000 in words is "two hundred two trillion, one billion, four hundred million, three hundred four thousand".