4402007904 has 432 divisors, whose sum is σ = 14774523120. Its totient is φ = 1142507520.

The previous prime is 4402007891. The next prime is 4402007959. The reversal of 4402007904 is 4097002044.

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 71 ways as a sum of consecutive naturals, for example, 72164034 + ... + 72164094.

It is an arithmetic number, because the mean of its divisors is an integer number (34200285).

Almost surely, 2^4402007904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387261560).

4402007904 is an abundant number, since it is smaller than the sum of its proper divisors (10372515216).

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

4402007904 is a wasteful number, since it uses less digits than its factorization.

4402007904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4402007904 is about 66347.6292266724. The cubic root of 4402007904 is about 1638.8917636671.

Adding to 4402007904 its reverse (4097002044), we get a palindrome (8499009948).

The spelling of 4402007904 in words is "four billion, four hundred two million, seven thousand, nine hundred four".