4255168320 has 336 divisors, whose sum is σ = 15951433680. Its totient is φ = 1034846208.

The previous prime is 4255168319. The next prime is 4255168343. The reversal of 4255168320 is 238615524.

4255168320 is a `hidden beast` number, since 4 + 2 + 551 + 6 + 83 + 20 = 666.

4255168320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 506790144 + 3748378176 = 22512^2 + 61224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331522 + ... + 3332798.

It is an arithmetic number, because the mean of its divisors is an integer number (47474505).

Almost surely, 2^4255168320 is an apocalyptic number.

4255168320 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 4255168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7975716840).

4255168320 is an abundant number, since it is smaller than the sum of its proper divisors (11696265360).

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

4255168320 is a wasteful number, since it uses less digits than its factorization.

4255168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4255168320 is about 65231.6512131956. The cubic root of 4255168320 is about 1620.4622366383.

The spelling of 4255168320 in words is "four billion, two hundred fifty-five million, one hundred sixty-eight thousand, three hundred twenty".