4172679144 has 192 divisors, whose sum is σ = 12115958400. Its totient is φ = 1330380288.

The previous prime is 4172679139. The next prime is 4172679157. The reversal of 4172679144 is 4419762714.

4172679144 is a `hidden beast` number, since 417 + 26 + 79 + 144 = 666.

It is a super-2 number, since 2×4172679144² = 34822502477545145472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4172679144.

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 47 ways as a sum of consecutive naturals, for example, 30457444 + ... + 30457580.

It is an arithmetic number, because the mean of its divisors is an integer number (63103950).

Almost surely, 2^4172679144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4172679144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057979200).

4172679144 is an abundant number, since it is smaller than the sum of its proper divisors (7943279256).

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

4172679144 is a wasteful number, since it uses less digits than its factorization.

4172679144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 282 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4172679144 is about 64596.2780971164. The cubic root of 4172679144 is about 1609.9226000881.

The spelling of 4172679144 in words is "four billion, one hundred seventy-two million, six hundred seventy-nine thousand, one hundred forty-four".