4456255744 has 144 divisors (see below), whose sum is σ = 9707201280. Its totient is φ = 2034892800.

The previous prime is 4456255733. The next prime is 4456255751. The reversal of 4456255744 is 4475526544.

It is a junction number, because it is equal to n+sod(n) for n = 4456255694 and 4456255703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23089312 + ... + 23089504.

It is an arithmetic number, because the mean of its divisors is an integer number (67411120).

Almost surely, 2^4456255744 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 4456255744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853600640).

4456255744 is an abundant number, since it is smaller than the sum of its proper divisors (5250945536).

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

4456255744 is a wasteful number, since it uses less digits than its factorization.

4456255744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 46.

The square root of 4456255744 is about 66755.1926369777. The cubic root of 4456255744 is about 1645.5965530673.

The spelling of 4456255744 in words is "four billion, four hundred fifty-six million, two hundred fifty-five thousand, seven hundred forty-four".