4480000040 has 64 divisors (see below), whose sum is σ = 10438794000. Its totient is φ = 1728348160.

The previous prime is 4480000039. The next prime is 4480000067. The reversal of 4480000040 is 400000844.

It can be written as a sum of positive squares in 8 ways, for example, as 355020964 + 4124979076 = 18842^2 + 64226^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4479999967 and 4480000021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1633070 + ... + 1635810.

Almost surely, 2^4480000040 is an apocalyptic number.

4480000040 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 4480000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219397000).

4480000040 is an abundant number, since it is smaller than the sum of its proper divisors (5958793960).

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

4480000040 is a wasteful number, since it uses less digits than its factorization.

4480000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4480000040 is about 66932.8024215332. The cubic root of 4480000040 is about 1648.5141248297.

Adding to 4480000040 its reverse (400000844), we get a palindrome (4880000884).

The spelling of 4480000040 in words is "four billion, four hundred eighty million, forty", and thus it is an aban number.