4443935440 has 160 divisors (see below), whose sum is σ = 12224217600. Its totient is φ = 1501516800.

The previous prime is 4443935423. The next prime is 4443935443. The reversal of 4443935440 is 445393444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4443935393 and 4443935402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443935443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1947100 + ... + 1949380.

It is an arithmetic number, because the mean of its divisors is an integer number (76401360).

Almost surely, 2^4443935440 is an apocalyptic number.

4443935440 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 4443935440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112108800).

4443935440 is an abundant number, since it is smaller than the sum of its proper divisors (7780282160).

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

4443935440 is a wasteful number, since it uses less digits than its factorization.

4443935440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The square root of 4443935440 is about 66662.8490240254. The cubic root of 4443935440 is about 1644.0786148454.

The spelling of 4443935440 in words is "four billion, four hundred forty-three million, nine hundred thirty-five thousand, four hundred forty".