4159848672 has 144 divisors (see below), whose sum is σ = 13603524480. Its totient is φ = 1181143296.

The previous prime is 4159848661. The next prime is 4159848689. The reversal of 4159848672 is 2768489514.

It is a happy number.

4159848672 is a `hidden beast` number, since 4 + 1 + 5 + 98 + 486 + 72 = 666.

4159848672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322279 + ... + 334937.

It is an arithmetic number, because the mean of its divisors is an integer number (94468920).

Almost surely, 2^4159848672 is an apocalyptic number.

4159848672 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 4159848672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6801762240).

4159848672 is an abundant number, since it is smaller than the sum of its proper divisors (9443675808).

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

4159848672 is a wasteful number, since it uses less digits than its factorization.

4159848672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12845 (or 12834 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 4159848672 is about 64496.8888551998. Note that the first 4 decimals coincide. The cubic root of 4159848672 is about 1608.2708016483.

The spelling of 4159848672 in words is "four billion, one hundred fifty-nine million, eight hundred forty-eight thousand, six hundred seventy-two".