4192794144 has 768 divisors, whose sum is σ = 16721510400. Its totient is φ = 989107200.

The previous prime is 4192794121. The next prime is 4192794197. The reversal of 4192794144 is 4414972914.

4192794144 is a `hidden beast` number, since 419 + 2 + 7 + 94 + 144 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4192794144.

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 127 ways as a sum of consecutive naturals, for example, 39184939 + ... + 39185045.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2^4192794144 is an apocalyptic number.

4192794144 is a gapful number since it is divisible by the number (44) 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 4192794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360755200).

4192794144 is an abundant number, since it is smaller than the sum of its proper divisors (12528716256).

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

4192794144 is a wasteful number, since it uses less digits than its factorization.

4192794144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4192794144 is about 64751.7887320497. The cubic root of 4192794144 is about 1612.5054087434.

The spelling of 4192794144 in words is "four billion, one hundred ninety-two million, seven hundred ninety-four thousand, one hundred forty-four".