4431144096 has 48 divisors (see below), whose sum is σ = 12924172800. Its totient is φ = 1477047744.

The previous prime is 4431144077. The next prime is 4431144103. The reversal of 4431144096 is 6904411344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4431144096.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2563456 + ... + 2565183.

It is an arithmetic number, because the mean of its divisors is an integer number (269253600).

Almost surely, 2^4431144096 is an apocalyptic number.

It is an amenable number.

4431144096 is an abundant number, since it is smaller than the sum of its proper divisors (8493028704).

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

4431144096 is a wasteful number, since it uses less digits than its factorization.

4431144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128658 (or 5128644 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4431144096 is about 66566.8393120779. The cubic root of 4431144096 is about 1642.4996701486.

The spelling of 4431144096 in words is "four billion, four hundred thirty-one million, one hundred forty-four thousand, ninety-six".