4414944000 has 144 divisors (see below), whose sum is σ = 14664555360. Its totient is φ = 1177292800.

The previous prime is 4414943999. The next prime is 4414944011. The reversal of 4414944000 is 4494144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73006 + ... + 118994.

It is an arithmetic number, because the mean of its divisors is an integer number (101837190).

Almost surely, 2^4414944000 is an apocalyptic number.

4414944000 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 4414944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332277680).

4414944000 is an abundant number, since it is smaller than the sum of its proper divisors (10249611360).

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

4414944000 is an equidigital number, since it uses as much as digits as its factorization.

4414944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46023 (or 45999 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4414944000 is about 66445.0449619834. The cubic root of 4414944000 is about 1640.4955868896.

The spelling of 4414944000 in words is "four billion, four hundred fourteen million, nine hundred forty-four thousand".