4408440400 has 240 divisors, whose sum is σ = 13112160768. Its totient is φ = 1387008000.

The previous prime is 4408440373. The next prime is 4408440403. The reversal of 4408440400 is 40448044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4408440403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10228185 + ... + 10228615.

Almost surely, 2^4408440400 is an apocalyptic number.

4408440400 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 4408440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556080384).

4408440400 is an abundant number, since it is smaller than the sum of its proper divisors (8703720368).

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

4408440400 is a wasteful number, since it uses less digits than its factorization.

4408440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4408440400 is about 66396.0872341134. The cubic root of 4408440400 is about 1639.6896596990.

Adding to 4408440400 its reverse (40448044), we get a palindrome (4448888444).

The spelling of 4408440400 in words is "four billion, four hundred eight million, four hundred forty thousand, four hundred".