4143379968 has 480 divisors, whose sum is σ = 15139156032. Its totient is φ = 1061683200.

The previous prime is 4143379937. The next prime is 4143379969. The reversal of 4143379968 is 8699733414.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4143379969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17192328 + ... + 17192568.

Almost surely, 2^4143379968 is an apocalyptic number.

4143379968 is a gapful number since it is divisible by the number (48) 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 4143379968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569578016).

4143379968 is an abundant number, since it is smaller than the sum of its proper divisors (10995776064).

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

4143379968 is a wasteful number, since it uses less digits than its factorization.

4143379968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 4143379968 is about 64369.0917133371. The cubic root of 4143379968 is about 1606.1456309562.

The spelling of 4143379968 in words is "four billion, one hundred forty-three million, three hundred seventy-nine thousand, nine hundred sixty-eight".