4409436960 has 192 divisors, whose sum is σ = 15495701760. Its totient is φ = 1171077120.

The previous prime is 4409436947. The next prime is 4409436991. The reversal of 4409436960 is 696349044.

It is a happy number.

4409436960 is a `hidden beast` number, since 440 + 94 + 3 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1134220 + ... + 1138100.

It is an arithmetic number, because the mean of its divisors is an integer number (80706780).

Almost surely, 2^4409436960 is an apocalyptic number.

4409436960 is a gapful number since it is divisible by the number (40) 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 4409436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747850880).

4409436960 is an abundant number, since it is smaller than the sum of its proper divisors (11086264800).

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

4409436960 is a wasteful number, since it uses less digits than its factorization.

4409436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4409436960 is about 66403.5914691367. The cubic root of 4409436960 is about 1639.8132049792.

The spelling of 4409436960 in words is "four billion, four hundred nine million, four hundred thirty-six thousand, nine hundred sixty".