4221292320 has 960 divisors, whose sum is σ = 18734284800. Its totient is φ = 873400320.

The previous prime is 4221292279. The next prime is 4221292343. The reversal of 4221292320 is 232921224.

4221292320 is a `hidden beast` number, since 42 + 212 + 92 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 53434041 + ... + 53434119.

It is an arithmetic number, because the mean of its divisors is an integer number (19514880).

Almost surely, 2^4221292320 is an apocalyptic number.

4221292320 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 4221292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367142400).

4221292320 is an abundant number, since it is smaller than the sum of its proper divisors (14512992480).

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

4221292320 is a wasteful number, since it uses less digits than its factorization.

4221292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4221292320 is about 64971.4731247491. The cubic root of 4221292320 is about 1616.1505308588.

The spelling of 4221292320 in words is "four billion, two hundred twenty-one million, two hundred ninety-two thousand, three hundred twenty".