4405204440 has 640 divisors, whose sum is σ = 18578165760. Its totient is φ = 911471616.

The previous prime is 4405204393. The next prime is 4405204459. The reversal of 4405204440 is 444025044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19754169 + ... + 19754391.

It is an arithmetic number, because the mean of its divisors is an integer number (29028384).

Almost surely, 2^4405204440 is an apocalyptic number.

4405204440 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 4405204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289082880).

4405204440 is an abundant number, since it is smaller than the sum of its proper divisors (14172961320).

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

4405204440 is a wasteful number, since it uses less digits than its factorization.

4405204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 4405204440 is about 66371.7141559565. The cubic root of 4405204440 is about 1639.2883636654.

Adding to 4405204440 its reverse (444025044), we get a palindrome (4849229484).

The spelling of 4405204440 in words is "four billion, four hundred five million, two hundred four thousand, four hundred forty".