4401807672 has 64 divisors (see below), whose sum is σ = 11609280000. Its totient is φ = 1386975744.

The previous prime is 4401807647. The next prime is 4401807673. The reversal of 4401807672 is 2767081044.

It is a self number, because there is not a number n which added to its sum of digits gives 4401807672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401807673) 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, 200704 + ... + 221552.

It is an arithmetic number, because the mean of its divisors is an integer number (181395000).

Almost surely, 2^4401807672 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 4401807672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804640000).

4401807672 is an abundant number, since it is smaller than the sum of its proper divisors (7207472328).

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

4401807672 is a wasteful number, since it uses less digits than its factorization.

4401807672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21340 (or 21336 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 4401807672 is about 66346.1202482858. The cubic root of 4401807672 is about 1638.8669141319.

The spelling of 4401807672 in words is "four billion, four hundred one million, eight hundred seven thousand, six hundred seventy-two".