4130130816 has 384 divisors, whose sum is σ = 14686164000. Its totient is φ = 1139346432.

The previous prime is 4130130811. The next prime is 4130130817. The reversal of 4130130816 is 6180310314.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4130130816 is a `hidden beast` number, since 41 + 301 + 308 + 16 = 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4130130816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130130811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142418290 + ... + 142418318.

Almost surely, 2^4130130816 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 4130130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343082000).

4130130816 is an abundant number, since it is smaller than the sum of its proper divisors (10556033184).

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

4130130816 is an frugal number, since it uses more digits than its factorization.

4130130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4130130816 is about 64266.0938287057. The cubic root of 4130130816 is about 1604.4318296363.

The spelling of 4130130816 in words is "four billion, one hundred thirty million, one hundred thirty thousand, eight hundred sixteen".