171130540838400 has 5040 divisors, whose sum is σ = 766749685973040. Its totient is φ = 37575622656000.

The previous prime is 171130540838363. The next prime is 171130540838423. The reversal of 171130540838400 is 4838045031171.

171130540838400 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 30 + 540 + 8 + 38 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1306340006335 + ... + 1306340006465.

It is an arithmetic number, because the mean of its divisors is an integer number (152132874201).

Almost surely, 2^{171130540838400} is an apocalyptic number.

171130540838400 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 171130540838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383374842986520).

171130540838400 is an abundant number, since it is smaller than the sum of its proper divisors (595619145134640).

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

171130540838400 is a wasteful number, since it uses less digits than its factorization.

171130540838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 171130540838400 its reverse (4838045031171), we get a palindrome (175968585869571).

The spelling of 171130540838400 in words is "one hundred seventy-one trillion, one hundred thirty billion, five hundred forty million, eight hundred thirty-eight thousand, four hundred".