171431040 has 128 divisors (see below), whose sum is σ = 596185920. Its totient is φ = 41553920.

The previous prime is 171430993. The next prime is 171431059. The reversal of 171431040 is 40134171.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 171430998 and 171431016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17062 + ... + 25178.

Almost surely, 2^171431040 is an apocalyptic number.

171431040 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 171431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298092960).

171431040 is an abundant number, since it is smaller than the sum of its proper divisors (424754880).

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

171431040 is a wasteful number, since it uses less digits than its factorization.

171431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 171431040 is about 13093.1676839488. The cubic root of 171431040 is about 555.5158907385.

The spelling of 171431040 in words is "one hundred seventy-one million, four hundred thirty-one thousand, forty".