4428618871752 has 256 divisors, whose sum is σ = 13098279571200. Its totient is φ = 1381603184640.

The previous prime is 4428618871741. The next prime is 4428618871783. The reversal of 4428618871752 is 2571788168244.

4428618871752 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 618 + 8 + 7 + 1 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×4428618871752² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4428618871752.

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 63 ways as a sum of consecutive naturals, for example, 1497671458 + ... + 1497674414.

It is an arithmetic number, because the mean of its divisors is an integer number (51165154575).

Almost surely, 2^{4428618871752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4428618871752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549139785600).

4428618871752 is an abundant number, since it is smaller than the sum of its proper divisors (8669660699448).

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

4428618871752 is a wasteful number, since it uses less digits than its factorization.

4428618871752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5123 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 4428618871752 in words is "four trillion, four hundred twenty-eight billion, six hundred eighteen million, eight hundred seventy-one thousand, seven hundred fifty-two".