210442010240000 has 880 divisors, whose sum is σ = 659041969762176. Its totient is φ = 65227161600000.

The previous prime is 210442010239999. The next prime is 210442010240009. The reversal of 210442010240000 is 42010244012.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (210442010240009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 8919668204 + ... + 8919691796.

Almost surely, 2^{210442010240000} is an apocalyptic number.

210442010240000 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 210442010240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329520984881088).

210442010240000 is an abundant number, since it is smaller than the sum of its proper divisors (448599959522176).

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

210442010240000 is a wasteful number, since it uses less digits than its factorization.

210442010240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23832 (or 23799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 210442010240000 its reverse (42010244012), we get a palindrome (210484020484012).

The spelling of 210442010240000 in words is "two hundred ten trillion, four hundred forty-two billion, ten million, two hundred forty thousand".