4459069440 has 480 divisors, whose sum is σ = 18320702400. Its totient is φ = 1019215872.

The previous prime is 4459069429. The next prime is 4459069463. The reversal of 4459069440 is 449609544.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4! ⋅ (2!)⁹.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637009917 + ... + 637009923.

It is an arithmetic number, because the mean of its divisors is an integer number (38168130).

Almost surely, 2^4459069440 is an apocalyptic number.

4459069440 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 4459069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160351200).

4459069440 is an abundant number, since it is smaller than the sum of its proper divisors (13861632960).

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

4459069440 is an frugal number, since it uses more digits than its factorization.

4459069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4459069440 is about 66776.2640464409. The cubic root of 4459069440 is about 1645.9428254042.

The spelling of 4459069440 in words is "four billion, four hundred fifty-nine million, sixty-nine thousand, four hundred forty".