4135442100 has 72 divisors (see below), whose sum is σ = 12669064128. Its totient is φ = 1037913600.

The previous prime is 4135442089. The next prime is 4135442107. The reversal of 4135442100 is 12445314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135442107) 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, 400336 + ... + 410535.

It is an arithmetic number, because the mean of its divisors is an integer number (175959224).

Almost surely, 2^4135442100 is an apocalyptic number.

It is an amenable number.

4135442100 is an abundant number, since it is smaller than the sum of its proper divisors (8533622028).

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

4135442100 is a wasteful number, since it uses less digits than its factorization.

4135442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810905 (or 810898 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4135442100 is about 64307.4031508037. The cubic root of 4135442100 is about 1605.1192931586.

Adding to 4135442100 its reverse (12445314), we get a palindrome (4147887414).

The spelling of 4135442100 in words is "four billion, one hundred thirty-five million, four hundred forty-two thousand, one hundred".