4228689628800 has 1920 divisors, whose sum is σ = 19527393916800. Its totient is φ = 877282099200.

The previous prime is 4228689628759. The next prime is 4228689628829. The reversal of 4228689628800 is 88269868224.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 1438817731 + ... + 1438820669.

It is an arithmetic number, because the mean of its divisors is an integer number (10170517665).

Almost surely, 2^{4228689628800} is an apocalyptic number.

4228689628800 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 4228689628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763696958400).

4228689628800 is an abundant number, since it is smaller than the sum of its proper divisors (15298704288000).

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

4228689628800 is a wasteful number, since it uses less digits than its factorization.

4228689628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 4228689628800 in words is "four trillion, two hundred twenty-eight billion, six hundred eighty-nine million, six hundred twenty-eight thousand, eight hundred".