4181871960 has 288 divisors, whose sum is σ = 16242539040. Its totient is φ = 914006016.

The previous prime is 4181871959. The next prime is 4181871989. The reversal of 4181871960 is 691781814.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 1331512 + ... + 1334648.

It is an arithmetic number, because the mean of its divisors is an integer number (56397705).

Almost surely, 2^4181871960 is an apocalyptic number.

4181871960 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 4181871960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121269520).

4181871960 is an abundant number, since it is smaller than the sum of its proper divisors (12060667080).

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

4181871960 is a wasteful number, since it uses less digits than its factorization.

4181871960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 4181871960 is about 64667.3948756249. The cubic root of 4181871960 is about 1611.1040046967.

The spelling of 4181871960 in words is "four billion, one hundred eighty-one million, eight hundred seventy-one thousand, nine hundred sixty".