4331984640 has 288 divisors, whose sum is σ = 14435807232. Its totient is φ = 1105920000.

The previous prime is 4331984603. The next prime is 4331984669. The reversal of 4331984640 is 464891334.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4331984592 and 4331984601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17974920 + ... + 17975160.

Almost surely, 2^4331984640 is an apocalyptic number.

4331984640 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 4331984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217903616).

4331984640 is an abundant number, since it is smaller than the sum of its proper divisors (10103822592).

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

4331984640 is a wasteful number, since it uses less digits than its factorization.

4331984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 4331984640 is about 65817.8140019858. The cubic root of 4331984640 is about 1630.1552589009.

The spelling of 4331984640 in words is "four billion, three hundred thirty-one million, nine hundred eighty-four thousand, six hundred forty".