4142665800 has 432 divisors, whose sum is σ = 17433610740. Its totient is φ = 873815040.

The previous prime is 4142665771. The next prime is 4142665801. The reversal of 4142665800 is 85662414.

4142665800 is a `hidden beast` number, since 4 + 14 + 2 + 66 + 580 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18714276 + 4123951524 = 4326^2 + 64218^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4142665801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1144794 + ... + 1148406.

Almost surely, 2^4142665800 is an apocalyptic number.

4142665800 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 4142665800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716805370).

4142665800 is an abundant number, since it is smaller than the sum of its proper divisors (13290944940).

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

4142665800 is a wasteful number, since it uses less digits than its factorization.

4142665800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4142665800 is about 64363.5440292096. The cubic root of 4142665800 is about 1606.0533452915.

The spelling of 4142665800 in words is "four billion, one hundred forty-two million, six hundred sixty-five thousand, eight hundred".