4221051516 has 216 divisors, whose sum is σ = 12666365712. Its totient is φ = 1171353600.

The previous prime is 4221051511. The next prime is 4221051539. The reversal of 4221051516 is 6151501224.

4221051516 is a `hidden beast` number, since 42 + 2 + 105 + 1 + 516 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4221051516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221051511) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11316306 + ... + 11316678.

It is an arithmetic number, because the mean of its divisors is an integer number (58640582).

Almost surely, 2^4221051516 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 4221051516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333182856).

4221051516 is an abundant number, since it is smaller than the sum of its proper divisors (8445314196).

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

4221051516 is a wasteful number, since it uses less digits than its factorization.

4221051516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 4221051516 is about 64969.6199465566. The cubic root of 4221051516 is about 1616.1197991236.

The spelling of 4221051516 in words is "four billion, two hundred twenty-one million, fifty-one thousand, five hundred sixteen".