4163931360 has 336 divisors, whose sum is σ = 15270171840. Its totient is φ = 1071221760.

The previous prime is 4163931353. The next prime is 4163931361. The reversal of 4163931360 is 631393614.

4163931360 is a `hidden beast` number, since 4 + 1 + 639 + 3 + 13 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163931361) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 3381945 + ... + 3383175.

It is an arithmetic number, because the mean of its divisors is an integer number (45446940).

Almost surely, 2^4163931360 is an apocalyptic number.

4163931360 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 4163931360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635085920).

4163931360 is an abundant number, since it is smaller than the sum of its proper divisors (11106240480).

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

4163931360 is a wasteful number, since it uses less digits than its factorization.

4163931360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4163931360 is about 64528.5313640408. The cubic root of 4163931360 is about 1608.7967759885.

The spelling of 4163931360 in words is "four billion, one hundred sixty-three million, nine hundred thirty-one thousand, three hundred sixty".