4020164772 has 48 divisors (see below), whose sum is σ = 10336898880. Its totient is φ = 1208204928.

The previous prime is 4020164689. The next prime is 4020164783. The reversal of 4020164772 is 2774610204.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 292947 + ... + 306362.

It is an arithmetic number, because the mean of its divisors is an integer number (215352060).

Almost surely, 2^4020164772 is an apocalyptic number.

It is an amenable number.

4020164772 is an abundant number, since it is smaller than the sum of its proper divisors (6316734108).

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

4020164772 is a wasteful number, since it uses less digits than its factorization.

4020164772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599372 (or 599370 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 4020164772 is about 63404.7693158803. The cubic root of 4020164772 is about 1590.0640471017.

Adding to 4020164772 its reverse (2774610204), we get a palindrome (6794774976).

The spelling of 4020164772 in words is "four billion, twenty million, one hundred sixty-four thousand, seven hundred seventy-two".