4233976992 has 144 divisors (see below), whose sum is σ = 13807265472. Its totient is φ = 1205591040.

The previous prime is 4233976963. The next prime is 4233977017. The reversal of 4233976992 is 2996793324.

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

It is a super-2 number, since 2×4233976992² = 35853122337570736128, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615492 + ... + 622332.

It is an arithmetic number, because the mean of its divisors is an integer number (95883788).

Almost surely, 2^4233976992 is an apocalyptic number.

4233976992 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 4233976992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903632736).

4233976992 is an abundant number, since it is smaller than the sum of its proper divisors (9573288480).

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

4233976992 is a wasteful number, since it uses less digits than its factorization.

4233976992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7160 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 4233976992 is about 65069.0171433379. The cubic root of 4233976992 is about 1617.7677164695.

The spelling of 4233976992 in words is "four billion, two hundred thirty-three million, nine hundred seventy-six thousand, nine hundred ninety-two".