200214433041000 has 2048 divisors, whose sum is σ = 783587738419200. Its totient is φ = 41543398195200.

The previous prime is 200214433040989. The next prime is 200214433041011. The reversal of 200214433041000 is 140334412002.

It is an interprime number because it is at equal distance from previous prime (200214433040989) and next prime (200214433041011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 536767916814 + ... + 536767917186.

It is an arithmetic number, because the mean of its divisors is an integer number (382611200400).

Almost surely, 2^{200214433041000} is an apocalyptic number.

200214433041000 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 200214433041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391793869209600).

200214433041000 is an abundant number, since it is smaller than the sum of its proper divisors (583373305378200).

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

200214433041000 is a wasteful number, since it uses less digits than its factorization.

200214433041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 200214433041000 its reverse (140334412002), we get a palindrome (200354767453002).

The spelling of 200214433041000 in words is "two hundred trillion, two hundred fourteen billion, four hundred thirty-three million, forty-one thousand".