4120168000 has 224 divisors, whose sum is σ = 11100267360. Its totient is φ = 1505894400.

The previous prime is 4120167973. The next prime is 4120168009. The reversal of 4120168000 is 8610214.

It can be written as a sum of positive squares in 16 ways, for example, as 1682968576 + 2437199424 = 41024^2 + 49368^2 .

It is not an unprimeable number, because it can be changed into a prime (4120168009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17991886 + ... + 17992114.

It is an arithmetic number, because the mean of its divisors is an integer number (49554765).

Almost surely, 2^4120168000 is an apocalyptic number.

4120168000 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 4120168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550133680).

4120168000 is an abundant number, since it is smaller than the sum of its proper divisors (6980099360).

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

4120168000 is a wasteful number, since it uses less digits than its factorization.

4120168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 4120168000 is about 64188.5348017853. The cubic root of 4120168000 is about 1603.1407059450.

Adding to 4120168000 its reverse (8610214), we get a palindrome (4128778214).

The spelling of 4120168000 in words is "four billion, one hundred twenty million, one hundred sixty-eight thousand".