171066272040 has 384 divisors, whose sum is σ = 583302021120. Its totient is φ = 43429478400.

The previous prime is 171066272021. The next prime is 171066272087. The reversal of 171066272040 is 40272660171.

171066272040 is a `hidden beast` number, since 1 + 7 + 1 + 0 + 6 + 627 + 20 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 171066271986 and 171066272004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194172400 + ... + 194173280.

It is an arithmetic number, because the mean of its divisors is an integer number (1519015680).

Almost surely, 2^171066272040 is an apocalyptic number.

171066272040 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 171066272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291651010560).

171066272040 is an abundant number, since it is smaller than the sum of its proper divisors (412235749080).

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

171066272040 is a wasteful number, since it uses less digits than its factorization.

171066272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 171066272040 in words is "one hundred seventy-one billion, sixty-six million, two hundred seventy-two thousand, forty".