4407406672 has 80 divisors (see below), whose sum is σ = 9249050880. Its totient is φ = 2026930176.

The previous prime is 4407406667. The next prime is 4407406673. The reversal of 4407406672 is 2766047044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4407406673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3096553 + ... + 3097975.

It is an arithmetic number, because the mean of its divisors is an integer number (115613136).

Almost surely, 2^4407406672 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 4407406672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624525440).

4407406672 is an abundant number, since it is smaller than the sum of its proper divisors (4841644208).

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

4407406672 is a wasteful number, since it uses less digits than its factorization.

4407406672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The square root of 4407406672 is about 66388.3022226055. The cubic root of 4407406672 is about 1639.5614869621.

The spelling of 4407406672 in words is "four billion, four hundred seven million, four hundred six thousand, six hundred seventy-two".