4400948736 has 120 divisors (see below), whose sum is σ = 12759060600. Its totient is φ = 1460330496.

The previous prime is 4400948719. The next prime is 4400948743. The reversal of 4400948736 is 6378490044.

It is a junction number, because it is equal to n+sod(n) for n = 4400948691 and 4400948700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071615 + ... + 1075713.

It is an arithmetic number, because the mean of its divisors is an integer number (106325505).

Almost surely, 2^4400948736 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 4400948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379530300).

4400948736 is an abundant number, since it is smaller than the sum of its proper divisors (8358111864).

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

4400948736 is a wasteful number, since it uses less digits than its factorization.

4400948736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4400948736 is about 66339.6467883271. The cubic root of 4400948736 is about 1638.7603084320.

The spelling of 4400948736 in words is "four billion, four hundred million, nine hundred forty-eight thousand, seven hundred thirty-six".