4434045440 has 160 divisors (see below), whose sum is σ = 11720142720. Its totient is φ = 1595392000.

The previous prime is 4434045431. The next prime is 4434045449. The reversal of 4434045440 is 445404344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4434045431) and next prime (4434045449).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4434045397 and 4434045406.

It is not an unprimeable number, because it can be changed into a prime (4434045449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2843381 + ... + 2844939.

It is an arithmetic number, because the mean of its divisors is an integer number (73250892).

Almost surely, 2^4434045440 is an apocalyptic number.

4434045440 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 4434045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860071360).

4434045440 is an abundant number, since it is smaller than the sum of its proper divisors (7286097280).

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

4434045440 is a wasteful number, since it uses less digits than its factorization.

4434045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

The square root of 4434045440 is about 66588.6284586190. The cubic root of 4434045440 is about 1642.8580739647.

Adding to 4434045440 its reverse (445404344), we get a palindrome (4879449784).

It can be divided in two parts, 443404 and 5440, that added together give a palindrome (448844).

The spelling of 4434045440 in words is "four billion, four hundred thirty-four million, forty-five thousand, four hundred forty".