210431242000 has 160 divisors (see below), whose sum is σ = 581824189440. Its totient is φ = 72109094400.

The previous prime is 210431241961. The next prime is 210431242019. The reversal of 210431242000 is 242134012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40723417 + ... + 40728583.

It is an arithmetic number, because the mean of its divisors is an integer number (3636401184).

Almost surely, 2^210431242000 is an apocalyptic number.

210431242000 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 210431242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290912094720).

210431242000 is an abundant number, since it is smaller than the sum of its proper divisors (371392947440).

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

210431242000 is a wasteful number, since it uses less digits than its factorization.

210431242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8106 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 210431242000 its reverse (242134012), we get a palindrome (210673376012).

The spelling of 210431242000 in words is "two hundred ten billion, four hundred thirty-one million, two hundred forty-two thousand".