4118242128 has 160 divisors (see below), whose sum is σ = 14284419072. Its totient is φ = 987379200.

The previous prime is 4118242123. The next prime is 4118242133. The reversal of 4118242128 is 8212428114.

It is an interprime number because it is at equal distance from previous prime (4118242123) and next prime (4118242133).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4118242123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5193 + ... + 90903.

Almost surely, 2^4118242128 is an apocalyptic number.

4118242128 is a gapful number since it is divisible by the number (48) 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 4118242128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142209536).

4118242128 is an abundant number, since it is smaller than the sum of its proper divisors (10166176944).

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

4118242128 is a wasteful number, since it uses less digits than its factorization.

4118242128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85753 (or 85747 counting only the distinct ones).

The product of its digits is 8192, while the sum is 33.

The square root of 4118242128 is about 64173.5313661326. The cubic root of 4118242128 is about 1602.8908840144.

The spelling of 4118242128 in words is "four billion, one hundred eighteen million, two hundred forty-two thousand, one hundred twenty-eight".