4220416632 has 128 divisors (see below), whose sum is σ = 11531520000. Its totient is φ = 1283627520.

The previous prime is 4220416609. The next prime is 4220416637. The reversal of 4220416632 is 2366140224.

It is a self number, because there is not a number n which added to its sum of digits gives 4220416632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220416637) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 925494 + ... + 930042.

It is an arithmetic number, because the mean of its divisors is an integer number (90090000).

Almost surely, 2^4220416632 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 4220416632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765760000).

4220416632 is an abundant number, since it is smaller than the sum of its proper divisors (7311103368).

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

4220416632 is a wasteful number, since it uses less digits than its factorization.

4220416632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4220416632 is about 64964.7337560926. The cubic root of 4220416632 is about 1616.0387687575.

Adding to 4220416632 its reverse (2366140224), we get a palindrome (6586556856).

The spelling of 4220416632 in words is "four billion, two hundred twenty million, four hundred sixteen thousand, six hundred thirty-two".