4331946960 has 320 divisors, whose sum is σ = 16987484160. Its totient is φ = 1004382720.

The previous prime is 4331946917. The next prime is 4331946977. The reversal of 4331946960 is 696491334.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 542517 + ... + 550443.

It is an arithmetic number, because the mean of its divisors is an integer number (53085888).

Almost surely, 2^4331946960 is an apocalyptic number.

4331946960 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 4331946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493742080).

4331946960 is an abundant number, since it is smaller than the sum of its proper divisors (12655537200).

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

4331946960 is a wasteful number, since it uses less digits than its factorization.

4331946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 4331946960 is about 65817.5277566698. The cubic root of 4331946960 is about 1630.1505324738.

The spelling of 4331946960 in words is "four billion, three hundred thirty-one million, nine hundred forty-six thousand, nine hundred sixty".