4417007904 has 144 divisors (see below), whose sum is σ = 12984596352. Its totient is φ = 1423194624.

The previous prime is 4417007899. The next prime is 4417007921. The reversal of 4417007904 is 4097007144.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1735657 + ... + 1738199.

It is an arithmetic number, because the mean of its divisors is an integer number (90170808).

Almost surely, 2^4417007904 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 4417007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492298176).

4417007904 is an abundant number, since it is smaller than the sum of its proper divisors (8567588448).

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

4417007904 is a wasteful number, since it uses less digits than its factorization.

4417007904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4417007904 is about 66460.5740571055. The cubic root of 4417007904 is about 1640.7511807648.

The spelling of 4417007904 in words is "four billion, four hundred seventeen million, seven thousand, nine hundred four".