210321431242340 has 192 divisors, whose sum is σ = 504547361095680. Its totient is φ = 72951935040000.

The previous prime is 210321431242337. The next prime is 210321431242357. The reversal of 210321431242340 is 43242134123012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210321431242297 and 210321431242306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152922251 + ... + 154291469.

It is an arithmetic number, because the mean of its divisors is an integer number (2627850839040).

Almost surely, 2^{210321431242340} is an apocalyptic number.

210321431242340 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 210321431242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252273680547840).

210321431242340 is an abundant number, since it is smaller than the sum of its proper divisors (294225929853340).

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

210321431242340 is a wasteful number, since it uses less digits than its factorization.

210321431242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369594 (or 1369592 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 210321431242340 its reverse (43242134123012), we get a palindrome (253563565365352).

The spelling of 210321431242340 in words is "two hundred ten trillion, three hundred twenty-one billion, four hundred thirty-one million, two hundred forty-two thousand, three hundred forty".