4944256800 has 216 divisors, whose sum is σ = 18721520496. Its totient is φ = 1130088960.

The previous prime is 4944256799. The next prime is 4944256841. The reversal of 4944256800 is 86524494.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96579 + ... + 138621.

It is an arithmetic number, because the mean of its divisors is an integer number (86673706).

Almost surely, 2^4944256800 is an apocalyptic number.

4944256800 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 4944256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360760248).

4944256800 is an abundant number, since it is smaller than the sum of its proper divisors (13777263696).

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

4944256800 is a wasteful number, since it uses less digits than its factorization.

4944256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42080 (or 42060 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4944256800 is about 70315.4094064736. The cubic root of 4944256800 is about 1703.5975487220.

The spelling of 4944256800 in words is "four billion, nine hundred forty-four million, two hundred fifty-six thousand, eight hundred".