4400400004 has 192 divisors, whose sum is σ = 10747699200. Its totient is φ = 1521400320.

The previous prime is 4400400001. The next prime is 4400400031. The reversal of 4400400004 is 4000040044.

It is not an unprimeable number, because it can be changed into a prime (4400400001) 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 63 ways as a sum of consecutive naturals, for example, 12608422 + ... + 12608770.

It is an arithmetic number, because the mean of its divisors is an integer number (55977600).

Almost surely, 2^4400400004 is an apocalyptic number.

4400400004 is a gapful number since it is divisible by the number (44) 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 4400400004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373849600).

4400400004 is an abundant number, since it is smaller than the sum of its proper divisors (6347299196).

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

4400400004 is a wasteful number, since it uses less digits than its factorization.

4400400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4400400004 is about 66335.5108821813. The cubic root of 4400400004 is about 1638.6921960278.

Adding to 4400400004 its reverse (4000040044), we get a palindrome (8400440048).

It can be divided in two parts, 4400 and 400004, that added together give a palindrome (404404).

The spelling of 4400400004 in words is "four billion, four hundred million, four hundred thousand, four".