4009404672 has 324 divisors, whose sum is σ = 14315718144. Its totient is φ = 1056706560.

The previous prime is 4009404631. The next prime is 4009404673. The reversal of 4009404672 is 2764049004.

4009404672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4009404673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2724897 + ... + 2726367.

Almost surely, 2^4009404672 is an apocalyptic number.

4009404672 is a gapful number since it is divisible by the number (42) 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 4009404672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157859072).

4009404672 is an abundant number, since it is smaller than the sum of its proper divisors (10306313472).

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

4009404672 is a wasteful number, since it uses less digits than its factorization.

4009404672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4009404672 is about 63319.8600124795. The cubic root of 4009404672 is about 1588.6441604099.

The spelling of 4009404672 in words is "four billion, nine million, four hundred four thousand, six hundred seventy-two".