200203400041400 has 192 divisors, whose sum is σ = 536770269504000. Its totient is φ = 68023821888000.

The previous prime is 200203400041367. The next prime is 200203400041483. The reversal of 200203400041400 is 4140004302002.

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 47 ways as a sum of consecutive naturals, for example, 87446486 + ... + 89706714.

It is an arithmetic number, because the mean of its divisors is an integer number (2795678487000).

Almost surely, 2^{200203400041400} is an apocalyptic number.

200203400041400 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 200203400041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268385134752000).

200203400041400 is an abundant number, since it is smaller than the sum of its proper divisors (336566869462600).

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

200203400041400 is a wasteful number, since it uses less digits than its factorization.

200203400041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260822 (or 2260813 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 200203400041400 its reverse (4140004302002), we get a palindrome (204343404343402).

The spelling of 200203400041400 in words is "two hundred trillion, two hundred three billion, four hundred million, forty-one thousand, four hundred".