4231966464 has 216 divisors, whose sum is σ = 13673844912. Its totient is φ = 1247477760.

The previous prime is 4231966447. The next prime is 4231966481. The reversal of 4231966464 is 4646691324.

It is an interprime number because it is at equal distance from previous prime (4231966447) and next prime (4231966481).

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

It is a zygodrome in base 4.

It is a congruent number.

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, 935472 + ... + 939984.

Almost surely, 2^4231966464 is an apocalyptic number.

4231966464 is a gapful number since it is divisible by the number (44) 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 4231966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836922456).

4231966464 is an abundant number, since it is smaller than the sum of its proper divisors (9441878448).

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

4231966464 is a wasteful number, since it uses less digits than its factorization.

4231966464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4566 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4231966464 is about 65053.5661128581. The cubic root of 4231966464 is about 1617.5116072002.

The spelling of 4231966464 in words is "four billion, two hundred thirty-one million, nine hundred sixty-six thousand, four hundred sixty-four".