4112664192 has 384 divisors, whose sum is σ = 15115551360. Its totient is φ = 1083912192.

The previous prime is 4112664181. The next prime is 4112664217. The reversal of 4112664192 is 2914662114.

4112664192 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 6 + 641 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829738 + ... + 2831190.

It is an arithmetic number, because the mean of its divisors is an integer number (39363415).

Almost surely, 2^4112664192 is an apocalyptic number.

4112664192 is a gapful number since it is divisible by the number (42) 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 4112664192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7557775680).

4112664192 is an abundant number, since it is smaller than the sum of its proper divisors (11002887168).

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

4112664192 is a wasteful number, since it uses less digits than its factorization.

4112664192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1478 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4112664192 is about 64130.0568532416. The cubic root of 4112664192 is about 1602.1668807343.

The spelling of 4112664192 in words is "four billion, one hundred twelve million, six hundred sixty-four thousand, one hundred ninety-two".