201403020400000 has 192 divisors, whose sum is σ = 502929682940160. Its totient is φ = 80332933120000.

The previous prime is 201403020399983. The next prime is 201403020400013. The reversal of 201403020400000 is 4020304102.

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 23 ways as a sum of consecutive naturals, for example, 140486817 + ... + 141913183.

It is an arithmetic number, because the mean of its divisors is an integer number (2619425431980).

Almost surely, 2^{201403020400000} is an apocalyptic number.

201403020400000 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 201403020400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251464841470080).

201403020400000 is an abundant number, since it is smaller than the sum of its proper divisors (301526662540160).

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

201403020400000 is an frugal number, since it uses more digits than its factorization.

201403020400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426759 (or 1426727 counting only the distinct ones).

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

Adding to 201403020400000 its reverse (4020304102), we get a palindrome (201407040704102).

The spelling of 201403020400000 in words is "two hundred one trillion, four hundred three billion, twenty million, four hundred thousand".