4252227840 has 864 divisors, whose sum is σ = 18343019520. Its totient is φ = 940584960.

The previous prime is 4252227827. The next prime is 4252227857. The reversal of 4252227840 is 487222524.

4252227840 is a `hidden beast` number, since 425 + 2 + 227 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 4252227795 and 4252227804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137168625 + ... + 137168655.

Almost surely, 2^4252227840 is an apocalyptic number.

4252227840 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 4252227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171509760).

4252227840 is an abundant number, since it is smaller than the sum of its proper divisors (14090791680).

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

4252227840 is an frugal number, since it uses more digits than its factorization.

4252227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4252227840 is about 65209.1085662118. The cubic root of 4252227840 is about 1620.0888840120.

The spelling of 4252227840 in words is "four billion, two hundred fifty-two million, two hundred twenty-seven thousand, eight hundred forty".