164340434202120 has 384 divisors, whose sum is σ = 597114201340800. Its totient is φ = 38854693785600.

The previous prime is 164340434202101. The next prime is 164340434202121. The reversal of 164340434202120 is 21202434043461.

164340434202120 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 0 + 434 + 2 + 0 + 212 + 0 = 666.

164340434202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164340434202121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111825036 + ... + 113285124.

It is an arithmetic number, because the mean of its divisors is an integer number (1554984899325).

Almost surely, 2^{164340434202120} is an apocalyptic number.

164340434202120 is a gapful number since it is divisible by the number (10) 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 164340434202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298557100670400).

164340434202120 is an abundant number, since it is smaller than the sum of its proper divisors (432773767138680).

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

164340434202120 is a wasteful number, since it uses less digits than its factorization.

164340434202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460821 (or 1460814 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 164340434202120 its reverse (21202434043461), we get a palindrome (185542868245581).

The spelling of 164340434202120 in words is "one hundred sixty-four trillion, three hundred forty billion, four hundred thirty-four million, two hundred two thousand, one hundred twenty".