4188125520 has 160 divisors (see below), whose sum is σ = 14561389440. Its totient is φ = 1106334720.

The previous prime is 4188125507. The next prime is 4188125527. The reversal of 4188125520 is 255218814.

4188125520 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 125 + 520 = 666.

4188125520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188125527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222060 + ... + 240180.

It is an arithmetic number, because the mean of its divisors is an integer number (91008684).

Almost surely, 2^4188125520 is an apocalyptic number.

4188125520 is a gapful number since it is divisible by the number (40) 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 4188125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280694720).

4188125520 is an abundant number, since it is smaller than the sum of its proper divisors (10373263920).

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

4188125520 is a wasteful number, since it uses less digits than its factorization.

4188125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250 (or 18238 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 4188125520 is about 64715.7285364230. The cubic root of 4188125520 is about 1611.9066849090.

The spelling of 4188125520 in words is "four billion, one hundred eighty-eight million, one hundred twenty-five thousand, five hundred twenty".