4257822720 has 384 divisors, whose sum is σ = 14944849920. Its totient is φ = 1030225920.

The previous prime is 4257822713. The next prime is 4257822743. The reversal of 4257822720 is 272287524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16189309 + ... + 16189571.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 2^4257822720 is an apocalyptic number.

4257822720 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 4257822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472424960).

4257822720 is an abundant number, since it is smaller than the sum of its proper divisors (10687027200).

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

4257822720 is a wasteful number, since it uses less digits than its factorization.

4257822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 4257822720 is about 65251.9939925210. The cubic root of 4257822720 is about 1620.7991180135.

The spelling of 4257822720 in words is "four billion, two hundred fifty-seven million, eight hundred twenty-two thousand, seven hundred twenty".