4024114432100 has 144 divisors (see below), whose sum is σ = 10097072496000. Its totient is φ = 1363499934720.

The previous prime is 4024114432099. The next prime is 4024114432133. The reversal of 4024114432100 is 12344114204.

It is a self number, because there is not a number n which added to its sum of digits gives 4024114432100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130752314 + ... + 130783086.

It is an arithmetic number, because the mean of its divisors is an integer number (70118559000).

Almost surely, 2^{4024114432100} 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 4024114432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048536248000).

4024114432100 is an abundant number, since it is smaller than the sum of its proper divisors (6072958063900).

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

4024114432100 is a wasteful number, since it uses less digits than its factorization.

4024114432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32982 (or 32975 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4024114432100 its reverse (12344114204), we get a palindrome (4036458546304).

The spelling of 4024114432100 in words is "four trillion, twenty-four billion, one hundred fourteen million, four hundred thirty-two thousand, one hundred".