4188560640 has 576 divisors, whose sum is σ = 16317987840. Its totient is φ = 902430720.

The previous prime is 4188560587. The next prime is 4188560653. The reversal of 4188560640 is 460658814.

It is a junction number, because it is equal to n+sod(n) for n = 4188560592 and 4188560601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13643367 + ... + 13643673.

It is an arithmetic number, because the mean of its divisors is an integer number (28329840).

Almost surely, 2^4188560640 is an apocalyptic number.

4188560640 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 4188560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158993920).

4188560640 is an abundant number, since it is smaller than the sum of its proper divisors (12129427200).

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

4188560640 is a wasteful number, since it uses less digits than its factorization.

4188560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4188560640 is about 64719.0902284635. The cubic root of 4188560640 is about 1611.9625053108.

The spelling of 4188560640 in words is "four billion, one hundred eighty-eight million, five hundred sixty thousand, six hundred forty".