4312168160 has 96 divisors (see below), whose sum is σ = 10349337600. Its totient is φ = 1697697792.

The previous prime is 4312168129. The next prime is 4312168229. The reversal of 4312168160 is 618612134.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2783066 + ... + 2784614.

It is an arithmetic number, because the mean of its divisors is an integer number (107805600).

Almost surely, 2^4312168160 is an apocalyptic number.

4312168160 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 4312168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174668800).

4312168160 is an abundant number, since it is smaller than the sum of its proper divisors (6037169440).

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

4312168160 is a wasteful number, since it uses less digits than its factorization.

4312168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 4312168160 is about 65667.1010476327. The cubic root of 4312168160 is about 1627.6657669778.

The spelling of 4312168160 in words is "four billion, three hundred twelve million, one hundred sixty-eight thousand, one hundred sixty".