4441789440 has 704 divisors, whose sum is σ = 18110545920. Its totient is φ = 1021870080.

The previous prime is 4441789409. The next prime is 4441789487. The reversal of 4441789440 is 449871444.

It is a tau number, because it is divible by the number of its divisors (704).

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 (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34974657 + ... + 34974783.

Almost surely, 2^4441789440 is an apocalyptic number.

4441789440 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 4441789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055272960).

4441789440 is an abundant number, since it is smaller than the sum of its proper divisors (13668756480).

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

4441789440 is a wasteful number, since it uses less digits than its factorization.

4441789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4441789440 is about 66646.7511586274. The cubic root of 4441789440 is about 1643.8139274727.

It can be divided in two parts, 4441 and 789440, that added together give a square (793881 = 891²).

The spelling of 4441789440 in words is "four billion, four hundred forty-one million, seven hundred eighty-nine thousand, four hundred forty".