4130046144 has 420 divisors, whose sum is σ = 14505218640. Its totient is φ = 1158312960.

The previous prime is 4130046143. The next prime is 4130046163. The reversal of 4130046144 is 4416400314.

4130046144 is a `hidden beast` number, since 41 + 3 + 0 + 0 + 4 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130046143) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 18035022 + ... + 18035250.

Almost surely, 2^4130046144 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 4130046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252609320).

4130046144 is an abundant number, since it is smaller than the sum of its proper divisors (10375172496).

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

4130046144 is a wasteful number, since it uses less digits than its factorization.

4130046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4130046144 is about 64265.4350642707. The cubic root of 4130046144 is about 1604.4208653847.

Adding to 4130046144 its reverse (4416400314), we get a palindrome (8546446458).

The spelling of 4130046144 in words is "four billion, one hundred thirty million, forty-six thousand, one hundred forty-four".