4012165080 has 1152 divisors, whose sum is σ = 18438451200. Its totient is φ = 745113600.

The previous prime is 4012165067. The next prime is 4012165081. The reversal of 4012165080 is 805612104.

4012165080 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 1 + 650 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4012165081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129424665 + ... + 129424695.

It is an arithmetic number, because the mean of its divisors is an integer number (16005600).

Almost surely, 2^4012165080 is an apocalyptic number.

4012165080 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 4012165080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219225600).

4012165080 is an abundant number, since it is smaller than the sum of its proper divisors (14426286120).

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

4012165080 is a wasteful number, since it uses less digits than its factorization.

4012165080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4012165080 is about 63341.6535938240. The cubic root of 4012165080 is about 1589.0086617419.

Adding to 4012165080 its reverse (805612104), we get a palindrome (4817777184).

The spelling of 4012165080 in words is "four billion, twelve million, one hundred sixty-five thousand, eighty".