4291933968 has 360 divisors, whose sum is σ = 15050251008. Its totient is φ = 1114103808.

The previous prime is 4291933957. The next prime is 4291933993. The reversal of 4291933968 is 8693391924.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58793580 + ... + 58793652.

Almost surely, 2^4291933968 is an apocalyptic number.

4291933968 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 4291933968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525125504).

4291933968 is an abundant number, since it is smaller than the sum of its proper divisors (10758317040).

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

4291933968 is a wasteful number, since it uses less digits than its factorization.

4291933968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 149 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 4291933968 is about 65512.8534564020. The cubic root of 4291933968 is about 1625.1159166857.

The spelling of 4291933968 in words is "four billion, two hundred ninety-one million, nine hundred thirty-three thousand, nine hundred sixty-eight".