4156220160 has 180 divisors, whose sum is σ = 14872086768. Its totient is φ = 1108297728.

The previous prime is 4156220149. The next prime is 4156220203. The reversal of 4156220160 is 610226514.

4156220160 is a `hidden beast` number, since 41 + 562 + 2 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 83637 + ... + 123723.

Almost surely, 2^4156220160 is an apocalyptic number.

4156220160 is a gapful number since it is divisible by the number (40) 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 4156220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436043384).

4156220160 is an abundant number, since it is smaller than the sum of its proper divisors (10715866608).

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

4156220160 is an equidigital number, since it uses as much as digits as its factorization.

4156220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40120 (or 40097 counting only the distinct ones).

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

The square root of 4156220160 is about 64468.7533616092. The cubic root of 4156220160 is about 1607.8030500596.

Adding to 4156220160 its reverse (610226514), we get a palindrome (4766446674).

The spelling of 4156220160 in words is "four billion, one hundred fifty-six million, two hundred twenty thousand, one hundred sixty".