4400406000 has 400 divisors, whose sum is σ = 16599705408. Its totient is φ = 1121472000.

The previous prime is 4400405993. The next prime is 4400406001. The reversal of 4400406000 is 6040044.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400406001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3725410 + ... + 3726590.

Almost surely, 2^4400406000 is an apocalyptic number.

4400406000 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 4400406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299852704).

4400406000 is an abundant number, since it is smaller than the sum of its proper divisors (12199299408).

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

4400406000 is a wasteful number, since it uses less digits than its factorization.

4400406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4400406000 is about 66335.5560766622. The cubic root of 4400406000 is about 1638.6929403233.

Adding to 4400406000 its reverse (6040044), we get a palindrome (4406446044).

It can be divided in two parts, 440040 and 6000, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 4400406000 in words is "four billion, four hundred million, four hundred six thousand".