4409627904 has 288 divisors, whose sum is σ = 14481331200. Its totient is φ = 1312266240.

The previous prime is 4409627899. The next prime is 4409627917. The reversal of 4409627904 is 4097269044.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4409627904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4485397 + ... + 4486379.

It is an arithmetic number, because the mean of its divisors is an integer number (50282400).

Almost surely, 2^4409627904 is an apocalyptic number.

4409627904 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 4409627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7240665600).

4409627904 is an abundant number, since it is smaller than the sum of its proper divisors (10071703296).

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

4409627904 is a wasteful number, since it uses less digits than its factorization.

4409627904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4409627904 is about 66405.0292071316. The cubic root of 4409627904 is about 1639.8368745146.

The spelling of 4409627904 in words is "four billion, four hundred nine million, six hundred twenty-seven thousand, nine hundred four".