4221688380 has 192 divisors, whose sum is σ = 14582550528. Its totient is φ = 888652800.

The previous prime is 4221688363. The next prime is 4221688391. The reversal of 4221688380 is 838861224.

4221688380 = 8155² + 8156² + ... + 8217².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 3826909 + ... + 3828011.

It is an arithmetic number, because the mean of its divisors is an integer number (75950784).

Almost surely, 2^4221688380 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 4221688380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291275264).

4221688380 is an abundant number, since it is smaller than the sum of its proper divisors (10360862148).

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

4221688380 is a wasteful number, since it uses less digits than its factorization.

4221688380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4221688380 is about 64974.5210063145. The cubic root of 4221688380 is about 1616.2010740348.

The spelling of 4221688380 in words is "four billion, two hundred twenty-one million, six hundred eighty-eight thousand, three hundred eighty".