4406402176 has 128 divisors (see below), whose sum is σ = 10674504000. Its totient is φ = 1785692160.

The previous prime is 4406402171. The next prime is 4406402207. The reversal of 4406402176 is 6712046044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (4406402171) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 449940 + ... + 459628.

Almost surely, 2^4406402176 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 4406402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337252000).

4406402176 is an abundant number, since it is smaller than the sum of its proper divisors (6268101824).

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

4406402176 is a wasteful number, since it uses less digits than its factorization.

4406402176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 4406402176 is about 66380.7364828080. The cubic root of 4406402176 is about 1639.4369195228.

The spelling of 4406402176 in words is "four billion, four hundred six million, four hundred two thousand, one hundred seventy-six".