4229521296 has 640 divisors, whose sum is σ = 15958978560. Its totient is φ = 928972800.

The previous prime is 4229521253. The next prime is 4229521297. The reversal of 4229521296 is 6921259224.

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

It is not an unprimeable number, because it can be changed into a prime (4229521297) 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 127 ways as a sum of consecutive naturals, for example, 37429336 + ... + 37429448.

It is an arithmetic number, because the mean of its divisors is an integer number (24935904).

Almost surely, 2^4229521296 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 4229521296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

4229521296 is an abundant number, since it is smaller than the sum of its proper divisors (11729457264).

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

4229521296 is a wasteful number, since it uses less digits than its factorization.

4229521296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 4229521296 is about 65034.7699004156. The cubic root of 4229521296 is about 1617.2000223747.

It can be divided in two parts, 4229 and 521296, that added together give a palindrome (525525).

The spelling of 4229521296 in words is "four billion, two hundred twenty-nine million, five hundred twenty-one thousand, two hundred ninety-six".