4448208960 has 560 divisors, whose sum is σ = 17493301056. Its totient is φ = 1065996288.

The previous prime is 4448208943. The next prime is 4448209009. The reversal of 4448208960 is 698028444.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14489127 + ... + 14489433.

Almost surely, 2^4448208960 is an apocalyptic number.

4448208960 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 4448208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746650528).

4448208960 is an abundant number, since it is smaller than the sum of its proper divisors (13045092096).

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

4448208960 is a wasteful number, since it uses less digits than its factorization.

4448208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4448208960 is about 66694.8945572298. The cubic root of 4448208960 is about 1644.6054565715.

The spelling of 4448208960 in words is "four billion, four hundred forty-eight million, two hundred eight thousand, nine hundred sixty".