4220145072 has 360 divisors, whose sum is σ = 14455435904. Its totient is φ = 1140480000.

The previous prime is 4220145071. The next prime is 4220145101. The reversal of 4220145072 is 2705410224.

4220145072 is a `hidden beast` number, since 4 + 2 + 201 + 450 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4220145071) 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, 7021572 + ... + 7022172.

Almost surely, 2^4220145072 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 4220145072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227717952).

4220145072 is an abundant number, since it is smaller than the sum of its proper divisors (10235290832).

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

4220145072 is a wasteful number, since it uses less digits than its factorization.

4220145072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4220145072 is about 64962.6436654174. The cubic root of 4220145072 is about 1616.0041070216.

Adding to 4220145072 its reverse (2705410224), we get a palindrome (6925555296).

The spelling of 4220145072 in words is "four billion, two hundred twenty million, one hundred forty-five thousand, seventy-two".