4160483712 has 768 divisors, whose sum is σ = 16497561600. Its totient is φ = 973209600.

The previous prime is 4160483693. The next prime is 4160483737. The reversal of 4160483712 is 2173840614.

4160483712 is a `hidden beast` number, since 4 + 1 + 604 + 8 + 37 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46746964 + ... + 46747052.

It is an arithmetic number, because the mean of its divisors is an integer number (21481200).

Almost surely, 2^4160483712 is an apocalyptic number.

4160483712 is a gapful number since it is divisible by the number (42) 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 4160483712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248780800).

4160483712 is an abundant number, since it is smaller than the sum of its proper divisors (12337077888).

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

4160483712 is a wasteful number, since it uses less digits than its factorization.

4160483712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4160483712 is about 64501.8116954865. The cubic root of 4160483712 is about 1608.3526367023.

It can be divided in two parts, 41604 and 83712, that added together give a square (125316 = 354²).

The spelling of 4160483712 in words is "four billion, one hundred sixty million, four hundred eighty-three thousand, seven hundred twelve".