4142141100 has 108 divisors (see below), whose sum is σ = 13000792896. Its totient is φ = 1103084160.

The previous prime is 4142141099. The next prime is 4142141131. The reversal of 4142141100 is 11412414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 774034 + ... + 779366.

It is an arithmetic number, because the mean of its divisors is an integer number (120377712).

Almost surely, 2^4142141100 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 4142141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500396448).

4142141100 is an abundant number, since it is smaller than the sum of its proper divisors (8858651796).

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

4142141100 is a wasteful number, since it uses less digits than its factorization.

4142141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4142141100 is about 64359.4678349658. The cubic root of 4142141100 is about 1605.9855361552.

Adding to 4142141100 its reverse (11412414), we get a palindrome (4153553514).

The spelling of 4142141100 in words is "four billion, one hundred forty-two million, one hundred forty-one thousand, one hundred".