210140142232020 has 384 divisors, whose sum is σ = 790051699261440. Its totient is φ = 40304441272320.

The previous prime is 210140142231989. The next prime is 210140142232049. The reversal of 210140142232020 is 20232241041012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1262558166 + ... + 1262724594.

It is an arithmetic number, because the mean of its divisors is an integer number (2057426300160).

Almost surely, 2^{210140142232020} is an apocalyptic number.

210140142232020 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 210140142232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395025849630720).

210140142232020 is an abundant number, since it is smaller than the sum of its proper divisors (579911557029420).

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

210140142232020 is a wasteful number, since it uses less digits than its factorization.

210140142232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187495 (or 187493 counting only the distinct ones).

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

Adding to 210140142232020 its reverse (20232241041012), we get a palindrome (230372383273032).

The spelling of 210140142232020 in words is "two hundred ten trillion, one hundred forty billion, one hundred forty-two million, two hundred thirty-two thousand, twenty".