4186638144 has 448 divisors, whose sum is σ = 14798649600. Its totient is φ = 1146617856.

The previous prime is 4186638143. The next prime is 4186638151. The reversal of 4186638144 is 4418366814.

4186638144 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 638 + 1 + 4 + 4 = 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 4186638144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4186638143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7255584 + ... + 7256160.

It is an arithmetic number, because the mean of its divisors is an integer number (33032700).

Almost surely, 2^4186638144 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 4186638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399324800).

4186638144 is an abundant number, since it is smaller than the sum of its proper divisors (10612011456).

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

4186638144 is a wasteful number, since it uses less digits than its factorization.

4186638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 4186638144 is about 64704.2359046145. The cubic root of 4186638144 is about 1611.7158441474.

The spelling of 4186638144 in words is "four billion, one hundred eighty-six million, six hundred thirty-eight thousand, one hundred forty-four".