4406823040 has 64 divisors (see below), whose sum is σ = 10589943960. Its totient is φ = 1753546752.

The previous prime is 4406823019. The next prime is 4406823041. The reversal of 4406823040 is 403286044.

It can be written as a sum of positive squares in 4 ways, for example, as 3407757376 + 999065664 = 58376^2 + 31608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4406822993 and 4406823011.

It is not an unprimeable number, because it can be changed into a prime (4406823041) 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 7 ways as a sum of consecutive naturals, for example, 105682 + ... + 141358.

Almost surely, 2^4406823040 is an apocalyptic number.

4406823040 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 4406823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294971980).

4406823040 is an abundant number, since it is smaller than the sum of its proper divisors (6183120920).

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

4406823040 is a wasteful number, since it uses less digits than its factorization.

4406823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35889 (or 35877 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 4406823040 is about 66383.9064834241. The cubic root of 4406823040 is about 1639.4891131255.

The spelling of 4406823040 in words is "four billion, four hundred six million, eight hundred twenty-three thousand, forty".