4278753920 has 128 divisors (see below), whose sum is σ = 12067660800. Its totient is φ = 1419632640.

The previous prime is 4278753883. The next prime is 4278753937. The reversal of 4278753920 is 293578724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 123476 + ... + 154284.

It is an arithmetic number, because the mean of its divisors is an integer number (94278600).

Almost surely, 2^4278753920 is an apocalyptic number.

4278753920 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 4278753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033830400).

4278753920 is an abundant number, since it is smaller than the sum of its proper divisors (7788906880).

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

4278753920 is a wasteful number, since it uses less digits than its factorization.

4278753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30866 (or 30854 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 4278753920 is about 65412.1847976354. The cubic root of 4278753920 is about 1623.4506946938.

The spelling of 4278753920 in words is "four billion, two hundred seventy-eight million, seven hundred fifty-three thousand, nine hundred twenty".