4406400672 has 24 divisors (see below), whose sum is σ = 11566802016. Its totient is φ = 1468800192.

The previous prime is 4406400671. The next prime is 4406400689. The reversal of 4406400672 is 2760046044.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (4406400671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22949908 + ... + 22950099.

It is an arithmetic number, because the mean of its divisors is an integer number (481950084).

Almost surely, 2^4406400672 is an apocalyptic number.

It is an amenable number.

4406400672 is an abundant number, since it is smaller than the sum of its proper divisors (7160401344).

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

4406400672 is a wasteful number, since it uses less digits than its factorization.

4406400672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45900020 (or 45900012 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4406400672 is about 66380.7251542193. The cubic root of 4406400672 is about 1639.4367329977.

The spelling of 4406400672 in words is "four billion, four hundred six million, four hundred thousand, six hundred seventy-two".