210132114214400 has 480 divisors, whose sum is σ = 601438820928000. Its totient is φ = 71266957885440.

The previous prime is 210132114214349. The next prime is 210132114214423. The reversal of 210132114214400 is 4412411231012.

It is a self number, because there is not a number n which added to its sum of digits gives 210132114214400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6045384221 + ... + 6045418979.

It is an arithmetic number, because the mean of its divisors is an integer number (1252997543600).

Almost surely, 2^{210132114214400} is an apocalyptic number.

210132114214400 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 210132114214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300719410464000).

210132114214400 is an abundant number, since it is smaller than the sum of its proper divisors (391306706713600).

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

210132114214400 is a wasteful number, since it uses less digits than its factorization.

210132114214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35522 (or 35501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 210132114214400 its reverse (4412411231012), we get a palindrome (214544525445412).

The spelling of 210132114214400 in words is "two hundred ten trillion, one hundred thirty-two billion, one hundred fourteen million, two hundred fourteen thousand, four hundred".