4221888480 has 240 divisors, whose sum is σ = 14983768800. Its totient is φ = 1119495168.

The previous prime is 4221888467. The next prime is 4221888509. The reversal of 4221888480 is 848881224.

4221888480 is a `hidden beast` number, since 422 + 188 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2578222 + ... + 2579858.

It is an arithmetic number, because the mean of its divisors is an integer number (62432370).

Almost surely, 2^4221888480 is an apocalyptic number.

4221888480 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 4221888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491884400).

4221888480 is an abundant number, since it is smaller than the sum of its proper divisors (10761880320).

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

4221888480 is a wasteful number, since it uses less digits than its factorization.

4221888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 4221888480 is about 64976.0608224291. The cubic root of 4221888480 is about 1616.2266085837.

The spelling of 4221888480 in words is "four billion, two hundred twenty-one million, eight hundred eighty-eight thousand, four hundred eighty".