4125191688 has 96 divisors (see below), whose sum is σ = 11788920000. Its totient is φ = 1299535488.

The previous prime is 4125191687. The next prime is 4125191699. The reversal of 4125191688 is 8861915214.

It is a happy number.

4125191688 is a `hidden beast` number, since 41 + 2 + 519 + 16 + 88 = 666.

4125191688 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4125191687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597118 + ... + 603986.

It is an arithmetic number, because the mean of its divisors is an integer number (122801250).

Almost surely, 2^4125191688 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 4125191688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894460000).

4125191688 is an abundant number, since it is smaller than the sum of its proper divisors (7663728312).

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

4125191688 is a wasteful number, since it uses less digits than its factorization.

4125191688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7332 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 4125191688 is about 64227.6551650455. The cubic root of 4125191688 is about 1603.7920068693.

The spelling of 4125191688 in words is "four billion, one hundred twenty-five million, one hundred ninety-one thousand, six hundred eighty-eight".