171948004240 has 40 divisors (see below), whose sum is σ = 420820119360. Its totient is φ = 65159243136.

The previous prime is 171948004237. The next prime is 171948004253. The reversal of 171948004240 is 42400849171.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×171948004240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 171948004193 and 171948004202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56560324 + ... + 56563363.

It is an arithmetic number, because the mean of its divisors is an integer number (10520502984).

Almost surely, 2^171948004240 is an apocalyptic number.

171948004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171948004240 is an abundant number, since it is smaller than the sum of its proper divisors (248872115120).

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

171948004240 is a wasteful number, since it uses less digits than its factorization.

171948004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113123719 (or 113123713 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 171948004240 in words is "one hundred seventy-one billion, nine hundred forty-eight million, four thousand, two hundred forty".