4201306164 has 48 divisors (see below), whose sum is σ = 11882485440. Its totient is φ = 1273122720.

The previous prime is 4201306159. The next prime is 4201306223. The reversal of 4201306164 is 4616031024.

4201306164 is a `hidden beast` number, since 42 + 0 + 1 + 3 + 0 + 616 + 4 = 666.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1767039 + ... + 1769414.

It is an arithmetic number, because the mean of its divisors is an integer number (247551780).

Almost surely, 2^4201306164 is an apocalyptic number.

4201306164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4201306164 is an abundant number, since it is smaller than the sum of its proper divisors (7681179276).

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

4201306164 is a wasteful number, since it uses less digits than its factorization.

4201306164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536477 (or 3536469 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4201306164 is about 64817.4834747539. The cubic root of 4201306164 is about 1613.5958828492.

Adding to 4201306164 its reverse (4616031024), we get a palindrome (8817337188).

The spelling of 4201306164 in words is "four billion, two hundred one million, three hundred six thousand, one hundred sixty-four".