171821000340 has 288 divisors, whose sum is σ = 586115397504. Its totient is φ = 40376724480.

The previous prime is 171821000327. The next prime is 171821000353. The reversal of 171821000340 is 43000128171.

It is an interprime number because it is at equal distance from previous prime (171821000327) and next prime (171821000353).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20288787 + ... + 20297253.

It is an arithmetic number, because the mean of its divisors is an integer number (2035122908).

Almost surely, 2^171821000340 is an apocalyptic number.

171821000340 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 171821000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293057698752).

171821000340 is an abundant number, since it is smaller than the sum of its proper divisors (414294397164).

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

171821000340 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (171821000339) it forms an eRAP, since the sums of their prime factors are consecutive (8806 and 8807).

171821000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 171821000340 in words is "one hundred seventy-one billion, eight hundred twenty-one million, three hundred forty", and thus it is an aban number.