4434441040 has 80 divisors (see below), whose sum is σ = 10681347600. Its totient is φ = 1710084096.

The previous prime is 4434441017. The next prime is 4434441113. The reversal of 4434441040 is 401444344.

It can be written as a sum of positive squares in 8 ways, for example, as 561121344 + 3873319696 = 23688^2 + 62236^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 2618434 + ... + 2620126.

It is an arithmetic number, because the mean of its divisors is an integer number (133516845).

Almost surely, 2^4434441040 is an apocalyptic number.

4434441040 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 4434441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340673800).

4434441040 is an abundant number, since it is smaller than the sum of its proper divisors (6246906560).

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

4434441040 is a wasteful number, since it uses less digits than its factorization.

4434441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4434441040 is about 66591.5988695271. The cubic root of 4434441040 is about 1642.9069304274.

Adding to 4434441040 its reverse (401444344), we get a palindrome (4835885384).

The spelling of 4434441040 in words is "four billion, four hundred thirty-four million, four hundred forty-one thousand, forty".