210142443031200 has 288 divisors, whose sum is σ = 771358684259520. Its totient is φ = 55201596595200.

The previous prime is 210142443031181. The next prime is 210142443031201. The reversal of 210142443031200 is 2130344241012.

210142443031200 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 4 + 24 + 430 + 3 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×210142443031200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (210142443031201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71155911 + ... + 74050310.

It is an arithmetic number, because the mean of its divisors is an integer number (2678328764790).

Almost surely, 2^{210142443031200} is an apocalyptic number.

210142443031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210142443031200 is an abundant number, since it is smaller than the sum of its proper divisors (561216241228320).

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

210142443031200 is a wasteful number, since it uses less digits than its factorization.

210142443031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145206317 (or 145206298 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 210142443031200 its reverse (2130344241012), we get a palindrome (212272787272212).

The spelling of 210142443031200 in words is "two hundred ten trillion, one hundred forty-two billion, four hundred forty-three million, thirty-one thousand, two hundred".