4171668480 has 528 divisors, whose sum is σ = 17167288320. Its totient is φ = 951533568.

The previous prime is 4171668469. The next prime is 4171668491. The reversal of 4171668480 is 848661714.

4171668480 is a `hidden beast` number, since 4 + 1 + 7 + 166 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4171668469) and next prime (4171668491).

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

It is a nialpdrome in base 12.

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 47 ways as a sum of consecutive naturals, for example, 8708881 + ... + 8709359.

Almost surely, 2^4171668480 is an apocalyptic number.

4171668480 is a gapful number since it is divisible by the number (40) 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 4171668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583644160).

4171668480 is an abundant number, since it is smaller than the sum of its proper divisors (12995619840).

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

4171668480 is an equidigital number, since it uses as much as digits as its factorization.

4171668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4171668480 is about 64588.4546958665. The cubic root of 4171668480 is about 1609.7926098874.

The spelling of 4171668480 in words is "four billion, one hundred seventy-one million, six hundred sixty-eight thousand, four hundred eighty".