4165379712 has 192 divisors, whose sum is σ = 13668487560. Its totient is φ = 1206190080.

The previous prime is 4165379677. The next prime is 4165379753. The reversal of 4165379712 is 2179735614.

4165379712 is a `hidden beast` number, since 4 + 16 + 537 + 97 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3205371456 + 960008256 = 56616^2 + 30984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246412 + ... + 262772.

Almost surely, 2^4165379712 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 4165379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834243780).

4165379712 is an abundant number, since it is smaller than the sum of its proper divisors (9503107848).

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

4165379712 is a wasteful number, since it uses less digits than its factorization.

4165379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16396 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 4165379712 is about 64539.7529589322. The cubic root of 4165379712 is about 1608.9832851402.

The spelling of 4165379712 in words is "four billion, one hundred sixty-five million, three hundred seventy-nine thousand, seven hundred twelve".