202013404000000 has 252 divisors, whose sum is σ = 512584325555400. Its totient is φ = 79435686400000.

The previous prime is 202013403999997. The next prime is 202013404000027. The reversal of 202013404000000 is 404310202.

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 235572006 + ... + 236427994.

It is an arithmetic number, because the mean of its divisors is an integer number (2034064783950).

Almost surely, 2^{202013404000000} is an apocalyptic number.

202013404000000 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 202013404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256292162777700).

202013404000000 is an abundant number, since it is smaller than the sum of its proper divisors (310570921555400).

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

202013404000000 is an frugal number, since it uses more digits than its factorization.

202013404000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856094 (or 856055 counting only the distinct ones).

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

Adding to 202013404000000 its reverse (404310202), we get a palindrome (202013808310202).

The spelling of 202013404000000 in words is "two hundred two trillion, thirteen billion, four hundred four million", and thus it is an aban number.