4221165312 has 360 divisors, whose sum is σ = 15498311136. Its totient is φ = 1112776704.

The previous prime is 4221165293. The next prime is 4221165317. The reversal of 4221165312 is 2135611224.

4221165312 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 1 + 653 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221165317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1885858 + ... + 1888094.

Almost surely, 2^4221165312 is an apocalyptic number.

4221165312 is a gapful number since it is divisible by the number (42) 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 4221165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749155568).

4221165312 is an abundant number, since it is smaller than the sum of its proper divisors (11277145824).

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

4221165312 is a wasteful number, since it uses less digits than its factorization.

4221165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2262 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4221165312 is about 64970.4957038193. The cubic root of 4221165312 is about 1616.1343220701.

Adding to 4221165312 its reverse (2135611224), we get a palindrome (6356776536).

The spelling of 4221165312 in words is "four billion, two hundred twenty-one million, one hundred sixty-five thousand, three hundred twelve".