4156164144 has 90 divisors (see below), whose sum is σ = 12785076668. Its totient is φ = 1259438400.

The previous prime is 4156164127. The next prime is 4156164151. The reversal of 4156164144 is 4414616514.

4156164144 is a `hidden beast` number, since 4 + 1 + 5 + 6 + 1 + 641 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4156164099 and 4156164108.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 101842 + ... + 136689.

Almost surely, 2^4156164144 is an apocalyptic number.

4156164144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4156164144 is an abundant number, since it is smaller than the sum of its proper divisors (8628912524).

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

4156164144 is a wasteful number, since it uses less digits than its factorization.

4156164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238567 (or 238547 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4156164144 is about 64468.3189171239. The cubic root of 4156164144 is about 1607.7958269020.

The spelling of 4156164144 in words is "four billion, one hundred fifty-six million, one hundred sixty-four thousand, one hundred forty-four".