210144441342000 has 640 divisors, whose sum is σ = 787756644919296. Its totient is φ = 47629824000000.

The previous prime is 210144441341971. The next prime is 210144441342007. The reversal of 210144441342000 is 243144441012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (210144441342007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168801820 + ... + 170042180.

Almost surely, 2^{210144441342000} is an apocalyptic number.

210144441342000 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 210144441342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393878322459648).

210144441342000 is an abundant number, since it is smaller than the sum of its proper divisors (577612203577296).

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

210144441342000 is a wasteful number, since it uses less digits than its factorization.

210144441342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240566 (or 1240550 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 210144441342000 its reverse (243144441012), we get a palindrome (210387585783012).

The spelling of 210144441342000 in words is "two hundred ten trillion, one hundred forty-four billion, four hundred forty-one million, three hundred forty-two thousand".