211200204143040 has 224 divisors, whose sum is σ = 766833738246144. Its totient is φ = 48244177305600.

The previous prime is 211200204143021. The next prime is 211200204143053. The reversal of 211200204143040 is 40341402002112.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 211200204143040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943417 + ... + 20574023.

Almost surely, 2^{211200204143040} is an apocalyptic number.

211200204143040 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 211200204143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383416869123072).

211200204143040 is an abundant number, since it is smaller than the sum of its proper divisors (555633534103104).

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

211200204143040 is a wasteful number, since it uses less digits than its factorization.

211200204143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19632235 (or 19632225 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211200204143040 its reverse (40341402002112), we get a palindrome (251541606145152).

The spelling of 211200204143040 in words is "two hundred eleven trillion, two hundred billion, two hundred four million, one hundred forty-three thousand, forty".