4188130812 has 288 divisors, whose sum is σ = 12504844800. Its totient is φ = 1205360640.

The previous prime is 4188130757. The next prime is 4188130831. The reversal of 4188130812 is 2180318814.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70985239 + ... + 70985297.

It is an arithmetic number, because the mean of its divisors is an integer number (43419600).

Almost surely, 2^4188130812 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 4188130812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252422400).

4188130812 is an abundant number, since it is smaller than the sum of its proper divisors (8316713988).

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

4188130812 is a wasteful number, since it uses less digits than its factorization.

4188130812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 4188130812 is about 64715.7694229158. The cubic root of 4188130812 is about 1611.9073638290.

The spelling of 4188130812 in words is "four billion, one hundred eighty-eight million, one hundred thirty thousand, eight hundred twelve".