4436972960 has 192 divisors, whose sum is σ = 12634030080. Its totient is φ = 1440322560.

The previous prime is 4436972957. The next prime is 4436972983. The reversal of 4436972960 is 692796344.

It is a junction number, because it is equal to n+sod(n) for n = 4436972899 and 4436972908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1630481 + ... + 1633199.

It is an arithmetic number, because the mean of its divisors is an integer number (65802240).

Almost surely, 2^4436972960 is an apocalyptic number.

4436972960 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 4436972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317015040).

4436972960 is an abundant number, since it is smaller than the sum of its proper divisors (8197057120).

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

4436972960 is a wasteful number, since it uses less digits than its factorization.

4436972960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 50.

The square root of 4436972960 is about 66610.6069631557. The cubic root of 4436972960 is about 1643.2195528784.

The spelling of 4436972960 in words is "four billion, four hundred thirty-six million, nine hundred seventy-two thousand, nine hundred sixty".