4156181228160 has 320 divisors, whose sum is σ = 15984204916680. Its totient is φ = 1023059828736.

The previous prime is 4156181228159. The next prime is 4156181228161. The reversal of 4156181228160 is 618221816514.

4156181228160 is a `hidden beast` number, since 4 + 1 + 5 + 618 + 1 + 2 + 28 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4156181228159) and next prime (4156181228161).

It can be written as a sum of positive squares in 4 ways, for example, as 1110932864064 + 3045248364096 = 1054008^2 + 1745064^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4156181228161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2409667 + ... + 3757506.

Almost surely, 2^{4156181228160} is an apocalyptic number.

4156181228160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4156181228160 is an abundant number, since it is smaller than the sum of its proper divisors (11828023688520).

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

4156181228160 is a wasteful number, since it uses less digits than its factorization.

4156181228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167217 (or 6167196 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 4156181228160 in words is "four trillion, one hundred fifty-six billion, one hundred eighty-one million, two hundred twenty-eight thousand, one hundred sixty".